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Finding the Third Proportional to 1,180.22 and 2,500.59

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Solution

The third proportional to 1,180.22 and 2,500.59 is: 5,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.22 : 2,500.59 = 2,500.59 : x
  2. Step 2: Convert to fraction form
    1,180.22/2,500.59 = 2,500.59/x
  3. Step 3: Cross multiply
    1,180.22x = 2,500.59 × 2,500.59
  4. Step 4: Simplify right side
    1,180.22x = 6,252,969.10
  5. Step 5: Solve for x
    x = 6,252,969.10/1,180.22
  6. Step 6: Final answer
    x = 5,298.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.