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Finding the Third Proportional to 29,582 and 44,681

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Solution

The third proportional to 29,582 and 44,681 is: 67,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582 : 44,681 = 44,681 : x
  2. Step 2: Convert to fraction form
    29,582/44,681 = 44,681/x
  3. Step 3: Cross multiply
    29,582x = 44,681 × 44,681
  4. Step 4: Simplify right side
    29,582x = 1,996,391,761
  5. Step 5: Solve for x
    x = 1,996,391,761/29,582
  6. Step 6: Final answer
    x = 67,486.71

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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.