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Finding the Third Proportional to 22,275 and 36,517.50

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Solution

The third proportional to 22,275 and 36,517.50 is: 59,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275 : 36,517.50 = 36,517.50 : x
  2. Step 2: Convert to fraction form
    22,275/36,517.50 = 36,517.50/x
  3. Step 3: Cross multiply
    22,275x = 36,517.50 × 36,517.50
  4. Step 4: Simplify right side
    22,275x = 1,333,527,806.25
  5. Step 5: Solve for x
    x = 1,333,527,806.25/22,275
  6. Step 6: Final answer
    x = 59,866.57

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.