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Finding the Third Proportional to 15,966.28 and 24,170.48

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Solution

The third proportional to 15,966.28 and 24,170.48 is: 36,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.28 : 24,170.48 = 24,170.48 : x
  2. Step 2: Convert to fraction form
    15,966.28/24,170.48 = 24,170.48/x
  3. Step 3: Cross multiply
    15,966.28x = 24,170.48 × 24,170.48
  4. Step 4: Simplify right side
    15,966.28x = 584,212,314.92
  5. Step 5: Solve for x
    x = 584,212,314.92/15,966.28
  6. Step 6: Final answer
    x = 36,590.38

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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.