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Finding the Third Proportional to 22,074 and 28,342.50

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Solution

The third proportional to 22,074 and 28,342.50 is: 36,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074 : 28,342.50 = 28,342.50 : x
  2. Step 2: Convert to fraction form
    22,074/28,342.50 = 28,342.50/x
  3. Step 3: Cross multiply
    22,074x = 28,342.50 × 28,342.50
  4. Step 4: Simplify right side
    22,074x = 803,297,306.25
  5. Step 5: Solve for x
    x = 803,297,306.25/22,074
  6. Step 6: Final answer
    x = 36,391.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.