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Finding the Third Proportional to 30,089 and 63,472

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Solution

The third proportional to 30,089 and 63,472 is: 133,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,089 : 63,472 = 63,472 : x
  2. Step 2: Convert to fraction form
    30,089/63,472 = 63,472/x
  3. Step 3: Cross multiply
    30,089x = 63,472 × 63,472
  4. Step 4: Simplify right side
    30,089x = 4,028,694,784
  5. Step 5: Solve for x
    x = 4,028,694,784/30,089
  6. Step 6: Final answer
    x = 133,892.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.