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Finding the Third Proportional to 29,184 and 63,472

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Solution

The third proportional to 29,184 and 63,472 is: 138,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184 : 63,472 = 63,472 : x
  2. Step 2: Convert to fraction form
    29,184/63,472 = 63,472/x
  3. Step 3: Cross multiply
    29,184x = 63,472 × 63,472
  4. Step 4: Simplify right side
    29,184x = 4,028,694,784
  5. Step 5: Solve for x
    x = 4,028,694,784/29,184
  6. Step 6: Final answer
    x = 138,044.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.