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Finding the Third Proportional to 1,248.66 and 2,713.31

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Solution

The third proportional to 1,248.66 and 2,713.31 is: 5,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.66 : 2,713.31 = 2,713.31 : x
  2. Step 2: Convert to fraction form
    1,248.66/2,713.31 = 2,713.31/x
  3. Step 3: Cross multiply
    1,248.66x = 2,713.31 × 2,713.31
  4. Step 4: Simplify right side
    1,248.66x = 7,362,064.72
  5. Step 5: Solve for x
    x = 7,362,064.72/1,248.66
  6. Step 6: Final answer
    x = 5,895.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.