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Finding the Third Proportional to 1,154.25 and 2,539.69

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Solution

The third proportional to 1,154.25 and 2,539.69 is: 5,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.25 : 2,539.69 = 2,539.69 : x
  2. Step 2: Convert to fraction form
    1,154.25/2,539.69 = 2,539.69/x
  3. Step 3: Cross multiply
    1,154.25x = 2,539.69 × 2,539.69
  4. Step 4: Simplify right side
    1,154.25x = 6,450,012.60
  5. Step 5: Solve for x
    x = 6,450,012.60/1,154.25
  6. Step 6: Final answer
    x = 5,588.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.