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Finding the Third Proportional to 2,283.47 and 3,449.81

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Solution

The third proportional to 2,283.47 and 3,449.81 is: 5,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.47 : 3,449.81 = 3,449.81 : x
  2. Step 2: Convert to fraction form
    2,283.47/3,449.81 = 3,449.81/x
  3. Step 3: Cross multiply
    2,283.47x = 3,449.81 × 3,449.81
  4. Step 4: Simplify right side
    2,283.47x = 11,901,206.29
  5. Step 5: Solve for x
    x = 11,901,206.29/2,283.47
  6. Step 6: Final answer
    x = 5,211.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.