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Finding the Third Proportional to 15,839.61 and 36,831.11

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Solution

The third proportional to 15,839.61 and 36,831.11 is: 85,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.61 : 36,831.11 = 36,831.11 : x
  2. Step 2: Convert to fraction form
    15,839.61/36,831.11 = 36,831.11/x
  3. Step 3: Cross multiply
    15,839.61x = 36,831.11 × 36,831.11
  4. Step 4: Simplify right side
    15,839.61x = 1,356,530,761.66
  5. Step 5: Solve for x
    x = 1,356,530,761.66/15,839.61
  6. Step 6: Final answer
    x = 85,641.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.