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Finding the Third Proportional to 22,862.81 and 49,915.13

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Solution

The third proportional to 22,862.81 and 49,915.13 is: 108,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.81 : 49,915.13 = 49,915.13 : x
  2. Step 2: Convert to fraction form
    22,862.81/49,915.13 = 49,915.13/x
  3. Step 3: Cross multiply
    22,862.81x = 49,915.13 × 49,915.13
  4. Step 4: Simplify right side
    22,862.81x = 2,491,519,703.77
  5. Step 5: Solve for x
    x = 2,491,519,703.77/22,862.81
  6. Step 6: Final answer
    x = 108,976.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.