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Finding the Third Proportional to 16,281 and 27,301.50

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Solution

The third proportional to 16,281 and 27,301.50 is: 45,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281 : 27,301.50 = 27,301.50 : x
  2. Step 2: Convert to fraction form
    16,281/27,301.50 = 27,301.50/x
  3. Step 3: Cross multiply
    16,281x = 27,301.50 × 27,301.50
  4. Step 4: Simplify right side
    16,281x = 745,371,902.25
  5. Step 5: Solve for x
    x = 745,371,902.25/16,281
  6. Step 6: Final answer
    x = 45,781.70

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.