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Finding the Third Proportional to 23,101.31 and 49,870.69

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Solution

The third proportional to 23,101.31 and 49,870.69 is: 107,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.31 : 49,870.69 = 49,870.69 : x
  2. Step 2: Convert to fraction form
    23,101.31/49,870.69 = 49,870.69/x
  3. Step 3: Cross multiply
    23,101.31x = 49,870.69 × 49,870.69
  4. Step 4: Simplify right side
    23,101.31x = 2,487,085,471.72
  5. Step 5: Solve for x
    x = 2,487,085,471.72/23,101.31
  6. Step 6: Final answer
    x = 107,659.92

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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.