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Finding the Third Proportional to 587.13 and 1,266.13

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Solution

The third proportional to 587.13 and 1,266.13 is: 2,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.13 : 1,266.13 = 1,266.13 : x
  2. Step 2: Convert to fraction form
    587.13/1,266.13 = 1,266.13/x
  3. Step 3: Cross multiply
    587.13x = 1,266.13 × 1,266.13
  4. Step 4: Simplify right side
    587.13x = 1,603,072.52
  5. Step 5: Solve for x
    x = 1,603,072.52/587.13
  6. Step 6: Final answer
    x = 2,730.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.