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Finding the Third Proportional to 29,085 and 62,813

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Solution

The third proportional to 29,085 and 62,813 is: 135,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,085 : 62,813 = 62,813 : x
  2. Step 2: Convert to fraction form
    29,085/62,813 = 62,813/x
  3. Step 3: Cross multiply
    29,085x = 62,813 × 62,813
  4. Step 4: Simplify right side
    29,085x = 3,945,472,969
  5. Step 5: Solve for x
    x = 3,945,472,969/29,085
  6. Step 6: Final answer
    x = 135,653.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.