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Finding the Third Proportional to 29,586 and 44,687

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Solution

The third proportional to 29,586 and 44,687 is: 67,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 44,687 = 44,687 : x
  2. Step 2: Convert to fraction form
    29,586/44,687 = 44,687/x
  3. Step 3: Cross multiply
    29,586x = 44,687 × 44,687
  4. Step 4: Simplify right side
    29,586x = 1,996,927,969
  5. Step 5: Solve for x
    x = 1,996,927,969/29,586
  6. Step 6: Final answer
    x = 67,495.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.