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Finding the Third Proportional to 1,327.64 and 1,988.30

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Solution

The third proportional to 1,327.64 and 1,988.30 is: 2,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.64 : 1,988.30 = 1,988.30 : x
  2. Step 2: Convert to fraction form
    1,327.64/1,988.30 = 1,988.30/x
  3. Step 3: Cross multiply
    1,327.64x = 1,988.30 × 1,988.30
  4. Step 4: Simplify right side
    1,327.64x = 3,953,324.46
  5. Step 5: Solve for x
    x = 3,953,324.46/1,327.64
  6. Step 6: Final answer
    x = 2,977.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.