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Finding the Third Proportional to 29,586.38 and 41,615.44

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Solution

The third proportional to 29,586.38 and 41,615.44 is: 58,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.38 : 41,615.44 = 41,615.44 : x
  2. Step 2: Convert to fraction form
    29,586.38/41,615.44 = 41,615.44/x
  3. Step 3: Cross multiply
    29,586.38x = 41,615.44 × 41,615.44
  4. Step 4: Simplify right side
    29,586.38x = 1,731,844,638.32
  5. Step 5: Solve for x
    x = 1,731,844,638.32/29,586.38
  6. Step 6: Final answer
    x = 58,535.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.