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Finding the Third Proportional to 1,002.53 and 1,542.94

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Solution

The third proportional to 1,002.53 and 1,542.94 is: 2,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.53 : 1,542.94 = 1,542.94 : x
  2. Step 2: Convert to fraction form
    1,002.53/1,542.94 = 1,542.94/x
  3. Step 3: Cross multiply
    1,002.53x = 1,542.94 × 1,542.94
  4. Step 4: Simplify right side
    1,002.53x = 2,380,656.13
  5. Step 5: Solve for x
    x = 2,380,656.13/1,002.53
  6. Step 6: Final answer
    x = 2,374.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.