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Finding the Third Proportional to 40,653 and 61,762

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Solution

The third proportional to 40,653 and 61,762 is: 93,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,653 : 61,762 = 61,762 : x
  2. Step 2: Convert to fraction form
    40,653/61,762 = 61,762/x
  3. Step 3: Cross multiply
    40,653x = 61,762 × 61,762
  4. Step 4: Simplify right side
    40,653x = 3,814,544,644
  5. Step 5: Solve for x
    x = 3,814,544,644/40,653
  6. Step 6: Final answer
    x = 93,831.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.