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Finding the Third Proportional to 15,597 and 23,974.88

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Solution

The third proportional to 15,597 and 23,974.88 is: 36,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597 : 23,974.88 = 23,974.88 : x
  2. Step 2: Convert to fraction form
    15,597/23,974.88 = 23,974.88/x
  3. Step 3: Cross multiply
    15,597x = 23,974.88 × 23,974.88
  4. Step 4: Simplify right side
    15,597x = 574,794,631.27
  5. Step 5: Solve for x
    x = 574,794,631.27/15,597
  6. Step 6: Final answer
    x = 36,852.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.