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Finding the Third Proportional to 21,831.75 and 47,139.75

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Solution

The third proportional to 21,831.75 and 47,139.75 is: 101,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.75 : 47,139.75 = 47,139.75 : x
  2. Step 2: Convert to fraction form
    21,831.75/47,139.75 = 47,139.75/x
  3. Step 3: Cross multiply
    21,831.75x = 47,139.75 × 47,139.75
  4. Step 4: Simplify right side
    21,831.75x = 2,222,156,030.06
  5. Step 5: Solve for x
    x = 2,222,156,030.06/21,831.75
  6. Step 6: Final answer
    x = 101,785.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.