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Finding the Third Proportional to 1,178.30 and 2,464.17

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Solution

The third proportional to 1,178.30 and 2,464.17 is: 5,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.30 : 2,464.17 = 2,464.17 : x
  2. Step 2: Convert to fraction form
    1,178.30/2,464.17 = 2,464.17/x
  3. Step 3: Cross multiply
    1,178.30x = 2,464.17 × 2,464.17
  4. Step 4: Simplify right side
    1,178.30x = 6,072,143.03
  5. Step 5: Solve for x
    x = 6,072,143.03/1,178.30
  6. Step 6: Final answer
    x = 5,153.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.