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Finding the Third Proportional to 4,458.80 and 9,607.36

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Solution

The third proportional to 4,458.80 and 9,607.36 is: 20,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.80 : 9,607.36 = 9,607.36 : x
  2. Step 2: Convert to fraction form
    4,458.80/9,607.36 = 9,607.36/x
  3. Step 3: Cross multiply
    4,458.80x = 9,607.36 × 9,607.36
  4. Step 4: Simplify right side
    4,458.80x = 92,301,354.16
  5. Step 5: Solve for x
    x = 92,301,354.16/4,458.80
  6. Step 6: Final answer
    x = 20,700.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.