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Finding the Third Proportional to 1,323.84 and 2,031.33

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Solution

The third proportional to 1,323.84 and 2,031.33 is: 3,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 2,031.33 = 2,031.33 : x
  2. Step 2: Convert to fraction form
    1,323.84/2,031.33 = 2,031.33/x
  3. Step 3: Cross multiply
    1,323.84x = 2,031.33 × 2,031.33
  4. Step 4: Simplify right side
    1,323.84x = 4,126,293.95
  5. Step 5: Solve for x
    x = 4,126,293.95/1,323.84
  6. Step 6: Final answer
    x = 3,116.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.