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Finding the Third Proportional to 1,254.09 and 2,710.69

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Solution

The third proportional to 1,254.09 and 2,710.69 is: 5,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.09 : 2,710.69 = 2,710.69 : x
  2. Step 2: Convert to fraction form
    1,254.09/2,710.69 = 2,710.69/x
  3. Step 3: Cross multiply
    1,254.09x = 2,710.69 × 2,710.69
  4. Step 4: Simplify right side
    1,254.09x = 7,347,826.72
  5. Step 5: Solve for x
    x = 7,347,826.72/1,254.09
  6. Step 6: Final answer
    x = 5,859.07

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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.