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Finding the Third Proportional to 2,349.19 and 5,103.38

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Solution

The third proportional to 2,349.19 and 5,103.38 is: 11,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.19 : 5,103.38 = 5,103.38 : x
  2. Step 2: Convert to fraction form
    2,349.19/5,103.38 = 5,103.38/x
  3. Step 3: Cross multiply
    2,349.19x = 5,103.38 × 5,103.38
  4. Step 4: Simplify right side
    2,349.19x = 26,044,436.39
  5. Step 5: Solve for x
    x = 26,044,436.39/2,349.19
  6. Step 6: Final answer
    x = 11,086.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.