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Finding the Third Proportional to 2,489.63 and 5,266.13

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Solution

The third proportional to 2,489.63 and 5,266.13 is: 11,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.63 : 5,266.13 = 5,266.13 : x
  2. Step 2: Convert to fraction form
    2,489.63/5,266.13 = 5,266.13/x
  3. Step 3: Cross multiply
    2,489.63x = 5,266.13 × 5,266.13
  4. Step 4: Simplify right side
    2,489.63x = 27,732,072.52
  5. Step 5: Solve for x
    x = 27,732,072.52/2,489.63
  6. Step 6: Final answer
    x = 11,139.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.