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Finding the Third Proportional to 42,291 and 63,305

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Solution

The third proportional to 42,291 and 63,305 is: 94,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,291 : 63,305 = 63,305 : x
  2. Step 2: Convert to fraction form
    42,291/63,305 = 63,305/x
  3. Step 3: Cross multiply
    42,291x = 63,305 × 63,305
  4. Step 4: Simplify right side
    42,291x = 4,007,523,025
  5. Step 5: Solve for x
    x = 4,007,523,025/42,291
  6. Step 6: Final answer
    x = 94,760.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.