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Finding the Third Proportional to 10,864.13 and 16,944.19

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Solution

The third proportional to 10,864.13 and 16,944.19 is: 26,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.13 : 16,944.19 = 16,944.19 : x
  2. Step 2: Convert to fraction form
    10,864.13/16,944.19 = 16,944.19/x
  3. Step 3: Cross multiply
    10,864.13x = 16,944.19 × 16,944.19
  4. Step 4: Simplify right side
    10,864.13x = 287,105,490.04
  5. Step 5: Solve for x
    x = 287,105,490.04/10,864.13
  6. Step 6: Final answer
    x = 26,426.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.