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Finding the Third Proportional to 40,726 and 59,632

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Solution

The third proportional to 40,726 and 59,632 is: 87,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,726 : 59,632 = 59,632 : x
  2. Step 2: Convert to fraction form
    40,726/59,632 = 59,632/x
  3. Step 3: Cross multiply
    40,726x = 59,632 × 59,632
  4. Step 4: Simplify right side
    40,726x = 3,555,975,424
  5. Step 5: Solve for x
    x = 3,555,975,424/40,726
  6. Step 6: Final answer
    x = 87,314.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.