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Finding the Third Proportional to 15,974.06 and 24,184.97

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Solution

The third proportional to 15,974.06 and 24,184.97 is: 36,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.06 : 24,184.97 = 24,184.97 : x
  2. Step 2: Convert to fraction form
    15,974.06/24,184.97 = 24,184.97/x
  3. Step 3: Cross multiply
    15,974.06x = 24,184.97 × 24,184.97
  4. Step 4: Simplify right side
    15,974.06x = 584,912,713.44
  5. Step 5: Solve for x
    x = 584,912,713.44/15,974.06
  6. Step 6: Final answer
    x = 36,616.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.