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Finding the Third Proportional to 1,405.97 and 2,332.97

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Solution

The third proportional to 1,405.97 and 2,332.97 is: 3,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.97 : 2,332.97 = 2,332.97 : x
  2. Step 2: Convert to fraction form
    1,405.97/2,332.97 = 2,332.97/x
  3. Step 3: Cross multiply
    1,405.97x = 2,332.97 × 2,332.97
  4. Step 4: Simplify right side
    1,405.97x = 5,442,743.19
  5. Step 5: Solve for x
    x = 5,442,743.19/1,405.97
  6. Step 6: Final answer
    x = 3,871.17

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.