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Finding the Third Proportional to 1,320.25 and 1,959.88

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Solution

The third proportional to 1,320.25 and 1,959.88 is: 2,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.25 : 1,959.88 = 1,959.88 : x
  2. Step 2: Convert to fraction form
    1,320.25/1,959.88 = 1,959.88/x
  3. Step 3: Cross multiply
    1,320.25x = 1,959.88 × 1,959.88
  4. Step 4: Simplify right side
    1,320.25x = 3,841,110.02
  5. Step 5: Solve for x
    x = 3,841,110.02/1,320.25
  6. Step 6: Final answer
    x = 2,909.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.