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Finding the Third Proportional to 63,431 and 83,427

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Solution

The third proportional to 63,431 and 83,427 is: 109,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,431 : 83,427 = 83,427 : x
  2. Step 2: Convert to fraction form
    63,431/83,427 = 83,427/x
  3. Step 3: Cross multiply
    63,431x = 83,427 × 83,427
  4. Step 4: Simplify right side
    63,431x = 6,960,064,329
  5. Step 5: Solve for x
    x = 6,960,064,329/63,431
  6. Step 6: Final answer
    x = 109,726.54

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.