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Finding the Third Proportional to 14,947.50 and 34,452

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Solution

The third proportional to 14,947.50 and 34,452 is: 79,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.50 : 34,452 = 34,452 : x
  2. Step 2: Convert to fraction form
    14,947.50/34,452 = 34,452/x
  3. Step 3: Cross multiply
    14,947.50x = 34,452 × 34,452
  4. Step 4: Simplify right side
    14,947.50x = 1,186,940,304
  5. Step 5: Solve for x
    x = 1,186,940,304/14,947.50
  6. Step 6: Final answer
    x = 79,407.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.