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Finding the Third Proportional to 23,419.13 and 43,831.13

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Solution

The third proportional to 23,419.13 and 43,831.13 is: 82,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.13 : 43,831.13 = 43,831.13 : x
  2. Step 2: Convert to fraction form
    23,419.13/43,831.13 = 43,831.13/x
  3. Step 3: Cross multiply
    23,419.13x = 43,831.13 × 43,831.13
  4. Step 4: Simplify right side
    23,419.13x = 1,921,167,518.77
  5. Step 5: Solve for x
    x = 1,921,167,518.77/23,419.13
  6. Step 6: Final answer
    x = 82,034.13

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.