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Finding the Third Proportional to 712.13 and 1,663.31

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Solution

The third proportional to 712.13 and 1,663.31 is: 3,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,663.31 = 1,663.31 : x
  2. Step 2: Convert to fraction form
    712.13/1,663.31 = 1,663.31/x
  3. Step 3: Cross multiply
    712.13x = 1,663.31 × 1,663.31
  4. Step 4: Simplify right side
    712.13x = 2,766,608.47
  5. Step 5: Solve for x
    x = 2,766,608.47/712.13
  6. Step 6: Final answer
    x = 3,885.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.