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Finding the Third Proportional to 4,357.13 and 9,412.88

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Solution

The third proportional to 4,357.13 and 9,412.88 is: 20,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.13 : 9,412.88 = 9,412.88 : x
  2. Step 2: Convert to fraction form
    4,357.13/9,412.88 = 9,412.88/x
  3. Step 3: Cross multiply
    4,357.13x = 9,412.88 × 9,412.88
  4. Step 4: Simplify right side
    4,357.13x = 88,602,215.77
  5. Step 5: Solve for x
    x = 88,602,215.77/4,357.13
  6. Step 6: Final answer
    x = 20,335.02

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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.