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Finding the Third Proportional to 10,569.38 and 16,251.47

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Solution

The third proportional to 10,569.38 and 16,251.47 is: 24,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.38 : 16,251.47 = 16,251.47 : x
  2. Step 2: Convert to fraction form
    10,569.38/16,251.47 = 16,251.47/x
  3. Step 3: Cross multiply
    10,569.38x = 16,251.47 × 16,251.47
  4. Step 4: Simplify right side
    10,569.38x = 264,110,236.53
  5. Step 5: Solve for x
    x = 264,110,236.53/10,569.38
  6. Step 6: Final answer
    x = 24,988.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.