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Finding the Third Proportional to 1,178.30 and 2,583.14

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Solution

The third proportional to 1,178.30 and 2,583.14 is: 5,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.30 : 2,583.14 = 2,583.14 : x
  2. Step 2: Convert to fraction form
    1,178.30/2,583.14 = 2,583.14/x
  3. Step 3: Cross multiply
    1,178.30x = 2,583.14 × 2,583.14
  4. Step 4: Simplify right side
    1,178.30x = 6,672,615.49
  5. Step 5: Solve for x
    x = 6,672,615.49/1,178.30
  6. Step 6: Final answer
    x = 5,662.93

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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.