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Finding the Third Proportional to 1,539.46 and 2,388.59

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Solution

The third proportional to 1,539.46 and 2,388.59 is: 3,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.46 : 2,388.59 = 2,388.59 : x
  2. Step 2: Convert to fraction form
    1,539.46/2,388.59 = 2,388.59/x
  3. Step 3: Cross multiply
    1,539.46x = 2,388.59 × 2,388.59
  4. Step 4: Simplify right side
    1,539.46x = 5,705,342.78
  5. Step 5: Solve for x
    x = 5,705,342.78/1,539.46
  6. Step 6: Final answer
    x = 3,706.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.