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Finding the Third Proportional to 1,423.56 and 3,127.31

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Solution

The third proportional to 1,423.56 and 3,127.31 is: 6,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.56 : 3,127.31 = 3,127.31 : x
  2. Step 2: Convert to fraction form
    1,423.56/3,127.31 = 3,127.31/x
  3. Step 3: Cross multiply
    1,423.56x = 3,127.31 × 3,127.31
  4. Step 4: Simplify right side
    1,423.56x = 9,780,046.82
  5. Step 5: Solve for x
    x = 9,780,046.82/1,423.56
  6. Step 6: Final answer
    x = 6,870.11

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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.