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Finding the Third Proportional to 2,352.52 and 5,092.68

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Solution

The third proportional to 2,352.52 and 5,092.68 is: 11,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.52 : 5,092.68 = 5,092.68 : x
  2. Step 2: Convert to fraction form
    2,352.52/5,092.68 = 5,092.68/x
  3. Step 3: Cross multiply
    2,352.52x = 5,092.68 × 5,092.68
  4. Step 4: Simplify right side
    2,352.52x = 25,935,361.53
  5. Step 5: Solve for x
    x = 25,935,361.53/2,352.52
  6. Step 6: Final answer
    x = 11,024.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.