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Finding the Third Proportional to 10,563.38 and 22,951.13

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Solution

The third proportional to 10,563.38 and 22,951.13 is: 49,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.38 : 22,951.13 = 22,951.13 : x
  2. Step 2: Convert to fraction form
    10,563.38/22,951.13 = 22,951.13/x
  3. Step 3: Cross multiply
    10,563.38x = 22,951.13 × 22,951.13
  4. Step 4: Simplify right side
    10,563.38x = 526,754,138.77
  5. Step 5: Solve for x
    x = 526,754,138.77/10,563.38
  6. Step 6: Final answer
    x = 49,866.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.