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Finding the Third Proportional to 22,711.50 and 33,396

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Solution

The third proportional to 22,711.50 and 33,396 is: 49,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.50 : 33,396 = 33,396 : x
  2. Step 2: Convert to fraction form
    22,711.50/33,396 = 33,396/x
  3. Step 3: Cross multiply
    22,711.50x = 33,396 × 33,396
  4. Step 4: Simplify right side
    22,711.50x = 1,115,292,816
  5. Step 5: Solve for x
    x = 1,115,292,816/22,711.50
  6. Step 6: Final answer
    x = 49,106.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.