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Finding the Third Proportional to 9,414.35 and 15,143.84

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Solution

The third proportional to 9,414.35 and 15,143.84 is: 24,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.35 : 15,143.84 = 15,143.84 : x
  2. Step 2: Convert to fraction form
    9,414.35/15,143.84 = 15,143.84/x
  3. Step 3: Cross multiply
    9,414.35x = 15,143.84 × 15,143.84
  4. Step 4: Simplify right side
    9,414.35x = 229,335,766.90
  5. Step 5: Solve for x
    x = 229,335,766.90/9,414.35
  6. Step 6: Final answer
    x = 24,360.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.