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Finding the Third Proportional to 10,524.94 and 14,614.17

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Solution

The third proportional to 10,524.94 and 14,614.17 is: 20,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.94 : 14,614.17 = 14,614.17 : x
  2. Step 2: Convert to fraction form
    10,524.94/14,614.17 = 14,614.17/x
  3. Step 3: Cross multiply
    10,524.94x = 14,614.17 × 14,614.17
  4. Step 4: Simplify right side
    10,524.94x = 213,574,019.59
  5. Step 5: Solve for x
    x = 213,574,019.59/10,524.94
  6. Step 6: Final answer
    x = 20,292.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.