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Finding the Third Proportional to 14,780.25 and 23,400

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Solution

The third proportional to 14,780.25 and 23,400 is: 37,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.25 : 23,400 = 23,400 : x
  2. Step 2: Convert to fraction form
    14,780.25/23,400 = 23,400/x
  3. Step 3: Cross multiply
    14,780.25x = 23,400 × 23,400
  4. Step 4: Simplify right side
    14,780.25x = 547,560,000
  5. Step 5: Solve for x
    x = 547,560,000/14,780.25
  6. Step 6: Final answer
    x = 37,046.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.