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Finding the Third Proportional to 2,581.13 and 4,266.38

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Solution

The third proportional to 2,581.13 and 4,266.38 is: 7,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.13 : 4,266.38 = 4,266.38 : x
  2. Step 2: Convert to fraction form
    2,581.13/4,266.38 = 4,266.38/x
  3. Step 3: Cross multiply
    2,581.13x = 4,266.38 × 4,266.38
  4. Step 4: Simplify right side
    2,581.13x = 18,201,955.64
  5. Step 5: Solve for x
    x = 18,201,955.64/2,581.13
  6. Step 6: Final answer
    x = 7,051.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.