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Finding the Third Proportional to 9,750.38 and 14,711.63

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Solution

The third proportional to 9,750.38 and 14,711.63 is: 22,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.38 : 14,711.63 = 14,711.63 : x
  2. Step 2: Convert to fraction form
    9,750.38/14,711.63 = 14,711.63/x
  3. Step 3: Cross multiply
    9,750.38x = 14,711.63 × 14,711.63
  4. Step 4: Simplify right side
    9,750.38x = 216,431,910.14
  5. Step 5: Solve for x
    x = 216,431,910.14/9,750.38
  6. Step 6: Final answer
    x = 22,197.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.