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Finding the Third Proportional to 1,387.13 and 1,846.55

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Solution

The third proportional to 1,387.13 and 1,846.55 is: 2,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 1,846.55 = 1,846.55 : x
  2. Step 2: Convert to fraction form
    1,387.13/1,846.55 = 1,846.55/x
  3. Step 3: Cross multiply
    1,387.13x = 1,846.55 × 1,846.55
  4. Step 4: Simplify right side
    1,387.13x = 3,409,735.36
  5. Step 5: Solve for x
    x = 3,409,735.36/1,387.13
  6. Step 6: Final answer
    x = 2,458.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.