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Finding the Third Proportional to 23,414.63 and 48,772.13

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Solution

The third proportional to 23,414.63 and 48,772.13 is: 101,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.63 : 48,772.13 = 48,772.13 : x
  2. Step 2: Convert to fraction form
    23,414.63/48,772.13 = 48,772.13/x
  3. Step 3: Cross multiply
    23,414.63x = 48,772.13 × 48,772.13
  4. Step 4: Simplify right side
    23,414.63x = 2,378,720,177.02
  5. Step 5: Solve for x
    x = 2,378,720,177.02/23,414.63
  6. Step 6: Final answer
    x = 101,591.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.