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Finding the Third Proportional to 6,948.75 and 15,195.38

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Solution

The third proportional to 6,948.75 and 15,195.38 is: 33,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.75 : 15,195.38 = 15,195.38 : x
  2. Step 2: Convert to fraction form
    6,948.75/15,195.38 = 15,195.38/x
  3. Step 3: Cross multiply
    6,948.75x = 15,195.38 × 15,195.38
  4. Step 4: Simplify right side
    6,948.75x = 230,899,421.39
  5. Step 5: Solve for x
    x = 230,899,421.39/6,948.75
  6. Step 6: Final answer
    x = 33,228.91

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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.