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Finding the Third Proportional to 40,600 and 59,670

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Solution

The third proportional to 40,600 and 59,670 is: 87,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,600 : 59,670 = 59,670 : x
  2. Step 2: Convert to fraction form
    40,600/59,670 = 59,670/x
  3. Step 3: Cross multiply
    40,600x = 59,670 × 59,670
  4. Step 4: Simplify right side
    40,600x = 3,560,508,900
  5. Step 5: Solve for x
    x = 3,560,508,900/40,600
  6. Step 6: Final answer
    x = 87,697.26

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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.