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Finding the Third Proportional to 1,178.02 and 2,538.14

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Solution

The third proportional to 1,178.02 and 2,538.14 is: 5,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.02 : 2,538.14 = 2,538.14 : x
  2. Step 2: Convert to fraction form
    1,178.02/2,538.14 = 2,538.14/x
  3. Step 3: Cross multiply
    1,178.02x = 2,538.14 × 2,538.14
  4. Step 4: Simplify right side
    1,178.02x = 6,442,157.83
  5. Step 5: Solve for x
    x = 6,442,157.83/1,178.02
  6. Step 6: Final answer
    x = 5,468.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.