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Finding the Third Proportional to 1,292 and 2,785.25

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Solution

The third proportional to 1,292 and 2,785.25 is: 6,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292 : 2,785.25 = 2,785.25 : x
  2. Step 2: Convert to fraction form
    1,292/2,785.25 = 2,785.25/x
  3. Step 3: Cross multiply
    1,292x = 2,785.25 × 2,785.25
  4. Step 4: Simplify right side
    1,292x = 7,757,617.56
  5. Step 5: Solve for x
    x = 7,757,617.56/1,292
  6. Step 6: Final answer
    x = 6,004.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.