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Finding the Third Proportional to 949.13 and 1,463.81

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Solution

The third proportional to 949.13 and 1,463.81 is: 2,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.13 : 1,463.81 = 1,463.81 : x
  2. Step 2: Convert to fraction form
    949.13/1,463.81 = 1,463.81/x
  3. Step 3: Cross multiply
    949.13x = 1,463.81 × 1,463.81
  4. Step 4: Simplify right side
    949.13x = 2,142,747.04
  5. Step 5: Solve for x
    x = 2,142,747.04/949.13
  6. Step 6: Final answer
    x = 2,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.