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Finding the Third Proportional to 4,156.31 and 8,972.02

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Solution

The third proportional to 4,156.31 and 8,972.02 is: 19,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.31 : 8,972.02 = 8,972.02 : x
  2. Step 2: Convert to fraction form
    4,156.31/8,972.02 = 8,972.02/x
  3. Step 3: Cross multiply
    4,156.31x = 8,972.02 × 8,972.02
  4. Step 4: Simplify right side
    4,156.31x = 80,497,064.38
  5. Step 5: Solve for x
    x = 80,497,064.38/4,156.31
  6. Step 6: Final answer
    x = 19,367.42

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