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Finding the Third Proportional to 41,727 and 92,782.50

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Solution

The third proportional to 41,727 and 92,782.50 is: 206,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,727 : 92,782.50 = 92,782.50 : x
  2. Step 2: Convert to fraction form
    41,727/92,782.50 = 92,782.50/x
  3. Step 3: Cross multiply
    41,727x = 92,782.50 × 92,782.50
  4. Step 4: Simplify right side
    41,727x = 8,608,592,306.25
  5. Step 5: Solve for x
    x = 8,608,592,306.25/41,727
  6. Step 6: Final answer
    x = 206,307.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.