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Finding the Third Proportional to 6,271.31 and 13,521.94

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Solution

The third proportional to 6,271.31 and 13,521.94 is: 29,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.31 : 13,521.94 = 13,521.94 : x
  2. Step 2: Convert to fraction form
    6,271.31/13,521.94 = 13,521.94/x
  3. Step 3: Cross multiply
    6,271.31x = 13,521.94 × 13,521.94
  4. Step 4: Simplify right side
    6,271.31x = 182,842,793.75
  5. Step 5: Solve for x
    x = 182,842,793.75/6,271.31
  6. Step 6: Final answer
    x = 29,155.43

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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.