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Finding the Third Proportional to 40,280 and 59,186

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Solution

The third proportional to 40,280 and 59,186 is: 86,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,280 : 59,186 = 59,186 : x
  2. Step 2: Convert to fraction form
    40,280/59,186 = 59,186/x
  3. Step 3: Cross multiply
    40,280x = 59,186 × 59,186
  4. Step 4: Simplify right side
    40,280x = 3,502,982,596
  5. Step 5: Solve for x
    x = 3,502,982,596/40,280
  6. Step 6: Final answer
    x = 86,965.80

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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.