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Finding the Third Proportional to 1,189.88 and 1,713.88

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Solution

The third proportional to 1,189.88 and 1,713.88 is: 2,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.88 : 1,713.88 = 1,713.88 : x
  2. Step 2: Convert to fraction form
    1,189.88/1,713.88 = 1,713.88/x
  3. Step 3: Cross multiply
    1,189.88x = 1,713.88 × 1,713.88
  4. Step 4: Simplify right side
    1,189.88x = 2,937,367.52
  5. Step 5: Solve for x
    x = 2,937,367.52/1,189.88
  6. Step 6: Final answer
    x = 2,468.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.