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Finding the Third Proportional to 15,542 and 23,278

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Solution

The third proportional to 15,542 and 23,278 is: 34,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542 : 23,278 = 23,278 : x
  2. Step 2: Convert to fraction form
    15,542/23,278 = 23,278/x
  3. Step 3: Cross multiply
    15,542x = 23,278 × 23,278
  4. Step 4: Simplify right side
    15,542x = 541,865,284
  5. Step 5: Solve for x
    x = 541,865,284/15,542
  6. Step 6: Final answer
    x = 34,864.58

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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.