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Finding the Third Proportional to 7,103.25 and 15,591.38

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Solution

The third proportional to 7,103.25 and 15,591.38 is: 34,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.25 : 15,591.38 = 15,591.38 : x
  2. Step 2: Convert to fraction form
    7,103.25/15,591.38 = 15,591.38/x
  3. Step 3: Cross multiply
    7,103.25x = 15,591.38 × 15,591.38
  4. Step 4: Simplify right side
    7,103.25x = 243,090,974.39
  5. Step 5: Solve for x
    x = 243,090,974.39/7,103.25
  6. Step 6: Final answer
    x = 34,222.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.