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Finding the Third Proportional to 29,514 and 44,495

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Solution

The third proportional to 29,514 and 44,495 is: 67,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514 : 44,495 = 44,495 : x
  2. Step 2: Convert to fraction form
    29,514/44,495 = 44,495/x
  3. Step 3: Cross multiply
    29,514x = 44,495 × 44,495
  4. Step 4: Simplify right side
    29,514x = 1,979,805,025
  5. Step 5: Solve for x
    x = 1,979,805,025/29,514
  6. Step 6: Final answer
    x = 67,080.20

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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.