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Finding the Third Proportional to 36,007 and 48,472

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Solution

The third proportional to 36,007 and 48,472 is: 65,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,007 : 48,472 = 48,472 : x
  2. Step 2: Convert to fraction form
    36,007/48,472 = 48,472/x
  3. Step 3: Cross multiply
    36,007x = 48,472 × 48,472
  4. Step 4: Simplify right side
    36,007x = 2,349,534,784
  5. Step 5: Solve for x
    x = 2,349,534,784/36,007
  6. Step 6: Final answer
    x = 65,252.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.