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Finding the Third Proportional to 15,200 and 22,739

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Solution

The third proportional to 15,200 and 22,739 is: 34,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200 : 22,739 = 22,739 : x
  2. Step 2: Convert to fraction form
    15,200/22,739 = 22,739/x
  3. Step 3: Cross multiply
    15,200x = 22,739 × 22,739
  4. Step 4: Simplify right side
    15,200x = 517,062,121
  5. Step 5: Solve for x
    x = 517,062,121/15,200
  6. Step 6: Final answer
    x = 34,017.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.