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Finding the Third Proportional to 22,660.31 and 49,087.13

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Solution

The third proportional to 22,660.31 and 49,087.13 is: 106,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.31 : 49,087.13 = 49,087.13 : x
  2. Step 2: Convert to fraction form
    22,660.31/49,087.13 = 49,087.13/x
  3. Step 3: Cross multiply
    22,660.31x = 49,087.13 × 49,087.13
  4. Step 4: Simplify right side
    22,660.31x = 2,409,545,840.77
  5. Step 5: Solve for x
    x = 2,409,545,840.77/22,660.31
  6. Step 6: Final answer
    x = 106,333.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.