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Finding the Third Proportional to 1,169.16 and 2,472.47

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Solution

The third proportional to 1,169.16 and 2,472.47 is: 5,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.16 : 2,472.47 = 2,472.47 : x
  2. Step 2: Convert to fraction form
    1,169.16/2,472.47 = 2,472.47/x
  3. Step 3: Cross multiply
    1,169.16x = 2,472.47 × 2,472.47
  4. Step 4: Simplify right side
    1,169.16x = 6,113,101.72
  5. Step 5: Solve for x
    x = 6,113,101.72/1,169.16
  6. Step 6: Final answer
    x = 5,228.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.