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Finding the Third Proportional to 4,529.67 and 9,978.82

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Solution

The third proportional to 4,529.67 and 9,978.82 is: 21,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.67 : 9,978.82 = 9,978.82 : x
  2. Step 2: Convert to fraction form
    4,529.67/9,978.82 = 9,978.82/x
  3. Step 3: Cross multiply
    4,529.67x = 9,978.82 × 9,978.82
  4. Step 4: Simplify right side
    4,529.67x = 99,576,854.83
  5. Step 5: Solve for x
    x = 99,576,854.83/4,529.67
  6. Step 6: Final answer
    x = 21,983.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.