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Finding the Third Proportional to 1,259.93 and 2,670.15

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Solution

The third proportional to 1,259.93 and 2,670.15 is: 5,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.93 : 2,670.15 = 2,670.15 : x
  2. Step 2: Convert to fraction form
    1,259.93/2,670.15 = 2,670.15/x
  3. Step 3: Cross multiply
    1,259.93x = 2,670.15 × 2,670.15
  4. Step 4: Simplify right side
    1,259.93x = 7,129,713.54
  5. Step 5: Solve for x
    x = 7,129,713.54/1,259.93
  6. Step 6: Final answer
    x = 5,658.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.