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Finding the Third Proportional to 29,586 and 64,920

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Solution

The third proportional to 29,586 and 64,920 is: 142,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 64,920 = 64,920 : x
  2. Step 2: Convert to fraction form
    29,586/64,920 = 64,920/x
  3. Step 3: Cross multiply
    29,586x = 64,920 × 64,920
  4. Step 4: Simplify right side
    29,586x = 4,214,606,400
  5. Step 5: Solve for x
    x = 4,214,606,400/29,586
  6. Step 6: Final answer
    x = 142,452.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.