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Finding the Third Proportional to 22,505.50 and 49,331

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Solution

The third proportional to 22,505.50 and 49,331 is: 108,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.50 : 49,331 = 49,331 : x
  2. Step 2: Convert to fraction form
    22,505.50/49,331 = 49,331/x
  3. Step 3: Cross multiply
    22,505.50x = 49,331 × 49,331
  4. Step 4: Simplify right side
    22,505.50x = 2,433,547,561
  5. Step 5: Solve for x
    x = 2,433,547,561/22,505.50
  6. Step 6: Final answer
    x = 108,131.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.