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Finding the Third Proportional to 1,169.16 and 2,597.86

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Solution

The third proportional to 1,169.16 and 2,597.86 is: 5,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.16 : 2,597.86 = 2,597.86 : x
  2. Step 2: Convert to fraction form
    1,169.16/2,597.86 = 2,597.86/x
  3. Step 3: Cross multiply
    1,169.16x = 2,597.86 × 2,597.86
  4. Step 4: Simplify right side
    1,169.16x = 6,748,873.33
  5. Step 5: Solve for x
    x = 6,748,873.33/1,169.16
  6. Step 6: Final answer
    x = 5,772.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.