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Finding the Third Proportional to 4,248.56 and 5,446.13

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Solution

The third proportional to 4,248.56 and 5,446.13 is: 6,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.56 : 5,446.13 = 5,446.13 : x
  2. Step 2: Convert to fraction form
    4,248.56/5,446.13 = 5,446.13/x
  3. Step 3: Cross multiply
    4,248.56x = 5,446.13 × 5,446.13
  4. Step 4: Simplify right side
    4,248.56x = 29,660,277.52
  5. Step 5: Solve for x
    x = 29,660,277.52/4,248.56
  6. Step 6: Final answer
    x = 6,981.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.