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Finding the Third Proportional to 22,685.85 and 49,307.17

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Solution

The third proportional to 22,685.85 and 49,307.17 is: 107,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.85 : 49,307.17 = 49,307.17 : x
  2. Step 2: Convert to fraction form
    22,685.85/49,307.17 = 49,307.17/x
  3. Step 3: Cross multiply
    22,685.85x = 49,307.17 × 49,307.17
  4. Step 4: Simplify right side
    22,685.85x = 2,431,196,813.10
  5. Step 5: Solve for x
    x = 2,431,196,813.10/22,685.85
  6. Step 6: Final answer
    x = 107,167.97

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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.