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Finding the Third Proportional to 22,824.38 and 49,293.75

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Solution

The third proportional to 22,824.38 and 49,293.75 is: 106,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824.38 : 49,293.75 = 49,293.75 : x
  2. Step 2: Convert to fraction form
    22,824.38/49,293.75 = 49,293.75/x
  3. Step 3: Cross multiply
    22,824.38x = 49,293.75 × 49,293.75
  4. Step 4: Simplify right side
    22,824.38x = 2,429,873,789.06
  5. Step 5: Solve for x
    x = 2,429,873,789.06/22,824.38
  6. Step 6: Final answer
    x = 106,459.60

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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.