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Finding the Third Proportional to 3,133.90 and 6,882.93

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Solution

The third proportional to 3,133.90 and 6,882.93 is: 15,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.90 : 6,882.93 = 6,882.93 : x
  2. Step 2: Convert to fraction form
    3,133.90/6,882.93 = 6,882.93/x
  3. Step 3: Cross multiply
    3,133.90x = 6,882.93 × 6,882.93
  4. Step 4: Simplify right side
    3,133.90x = 47,374,667.31
  5. Step 5: Solve for x
    x = 47,374,667.31/3,133.90
  6. Step 6: Final answer
    x = 15,116.85

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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.