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Finding the Third Proportional to 19,857 and 29,177.25

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Solution

The third proportional to 19,857 and 29,177.25 is: 42,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857 : 29,177.25 = 29,177.25 : x
  2. Step 2: Convert to fraction form
    19,857/29,177.25 = 29,177.25/x
  3. Step 3: Cross multiply
    19,857x = 29,177.25 × 29,177.25
  4. Step 4: Simplify right side
    19,857x = 851,311,917.56
  5. Step 5: Solve for x
    x = 851,311,917.56/19,857
  6. Step 6: Final answer
    x = 42,872.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.