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Finding the Third Proportional to 1,169.16 and 2,558.53

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Solution

The third proportional to 1,169.16 and 2,558.53 is: 5,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.16 : 2,558.53 = 2,558.53 : x
  2. Step 2: Convert to fraction form
    1,169.16/2,558.53 = 2,558.53/x
  3. Step 3: Cross multiply
    1,169.16x = 2,558.53 × 2,558.53
  4. Step 4: Simplify right side
    1,169.16x = 6,546,082.16
  5. Step 5: Solve for x
    x = 6,546,082.16/1,169.16
  6. Step 6: Final answer
    x = 5,598.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.