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Finding the Third Proportional to 29,586 and 45,690

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Solution

The third proportional to 29,586 and 45,690 is: 70,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 45,690 = 45,690 : x
  2. Step 2: Convert to fraction form
    29,586/45,690 = 45,690/x
  3. Step 3: Cross multiply
    29,586x = 45,690 × 45,690
  4. Step 4: Simplify right side
    29,586x = 2,087,576,100
  5. Step 5: Solve for x
    x = 2,087,576,100/29,586
  6. Step 6: Final answer
    x = 70,559.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.