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Finding the Third Proportional to 1,312.88 and 1,996.69

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Solution

The third proportional to 1,312.88 and 1,996.69 is: 3,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.88 : 1,996.69 = 1,996.69 : x
  2. Step 2: Convert to fraction form
    1,312.88/1,996.69 = 1,996.69/x
  3. Step 3: Cross multiply
    1,312.88x = 1,996.69 × 1,996.69
  4. Step 4: Simplify right side
    1,312.88x = 3,986,760.97
  5. Step 5: Solve for x
    x = 3,986,760.97/1,312.88
  6. Step 6: Final answer
    x = 3,036.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.