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Finding the Third Proportional to 10,939.78 and 16,972.17

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Solution

The third proportional to 10,939.78 and 16,972.17 is: 26,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.78 : 16,972.17 = 16,972.17 : x
  2. Step 2: Convert to fraction form
    10,939.78/16,972.17 = 16,972.17/x
  3. Step 3: Cross multiply
    10,939.78x = 16,972.17 × 16,972.17
  4. Step 4: Simplify right side
    10,939.78x = 288,054,618.15
  5. Step 5: Solve for x
    x = 288,054,618.15/10,939.78
  6. Step 6: Final answer
    x = 26,330.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.