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Finding the Third Proportional to 1,327.88 and 2,888.63

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Solution

The third proportional to 1,327.88 and 2,888.63 is: 6,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.88 : 2,888.63 = 2,888.63 : x
  2. Step 2: Convert to fraction form
    1,327.88/2,888.63 = 2,888.63/x
  3. Step 3: Cross multiply
    1,327.88x = 2,888.63 × 2,888.63
  4. Step 4: Simplify right side
    1,327.88x = 8,344,154.39
  5. Step 5: Solve for x
    x = 8,344,154.39/1,327.88
  6. Step 6: Final answer
    x = 6,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.