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Finding the Third Proportional to 15,543 and 23,278.50

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Solution

The third proportional to 15,543 and 23,278.50 is: 34,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,543 : 23,278.50 = 23,278.50 : x
  2. Step 2: Convert to fraction form
    15,543/23,278.50 = 23,278.50/x
  3. Step 3: Cross multiply
    15,543x = 23,278.50 × 23,278.50
  4. Step 4: Simplify right side
    15,543x = 541,888,562.25
  5. Step 5: Solve for x
    x = 541,888,562.25/15,543
  6. Step 6: Final answer
    x = 34,863.83

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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.