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Finding the Third Proportional to 1,387.13 and 3,301.31

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Solution

The third proportional to 1,387.13 and 3,301.31 is: 7,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 3,301.31 = 3,301.31 : x
  2. Step 2: Convert to fraction form
    1,387.13/3,301.31 = 3,301.31/x
  3. Step 3: Cross multiply
    1,387.13x = 3,301.31 × 3,301.31
  4. Step 4: Simplify right side
    1,387.13x = 10,898,664.22
  5. Step 5: Solve for x
    x = 10,898,664.22/1,387.13
  6. Step 6: Final answer
    x = 7,857.02

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.