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Finding the Third Proportional to 1,128.38 and 1,690.88

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Solution

The third proportional to 1,128.38 and 1,690.88 is: 2,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.38 : 1,690.88 = 1,690.88 : x
  2. Step 2: Convert to fraction form
    1,128.38/1,690.88 = 1,690.88/x
  3. Step 3: Cross multiply
    1,128.38x = 1,690.88 × 1,690.88
  4. Step 4: Simplify right side
    1,128.38x = 2,859,058.27
  5. Step 5: Solve for x
    x = 2,859,058.27/1,128.38
  6. Step 6: Final answer
    x = 2,533.78

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