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Finding the Third Proportional to 49,565 and 71,031

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Solution

The third proportional to 49,565 and 71,031 is: 101,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,565 : 71,031 = 71,031 : x
  2. Step 2: Convert to fraction form
    49,565/71,031 = 71,031/x
  3. Step 3: Cross multiply
    49,565x = 71,031 × 71,031
  4. Step 4: Simplify right side
    49,565x = 5,045,402,961
  5. Step 5: Solve for x
    x = 5,045,402,961/49,565
  6. Step 6: Final answer
    x = 101,793.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.