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Finding the Third Proportional to 9,179.44 and 19,816.88

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Solution

The third proportional to 9,179.44 and 19,816.88 is: 42,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.44 : 19,816.88 = 19,816.88 : x
  2. Step 2: Convert to fraction form
    9,179.44/19,816.88 = 19,816.88/x
  3. Step 3: Cross multiply
    9,179.44x = 19,816.88 × 19,816.88
  4. Step 4: Simplify right side
    9,179.44x = 392,708,534.77
  5. Step 5: Solve for x
    x = 392,708,534.77/9,179.44
  6. Step 6: Final answer
    x = 42,781.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.