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Finding the Third Proportional to 2,270.53 and 4,952.39

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Solution

The third proportional to 2,270.53 and 4,952.39 is: 10,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.53 : 4,952.39 = 4,952.39 : x
  2. Step 2: Convert to fraction form
    2,270.53/4,952.39 = 4,952.39/x
  3. Step 3: Cross multiply
    2,270.53x = 4,952.39 × 4,952.39
  4. Step 4: Simplify right side
    2,270.53x = 24,526,172.90
  5. Step 5: Solve for x
    x = 24,526,172.90/2,270.53
  6. Step 6: Final answer
    x = 10,801.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.