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Finding the Third Proportional to 6,948 and 11,538

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Solution

The third proportional to 6,948 and 11,538 is: 19,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948 : 11,538 = 11,538 : x
  2. Step 2: Convert to fraction form
    6,948/11,538 = 11,538/x
  3. Step 3: Cross multiply
    6,948x = 11,538 × 11,538
  4. Step 4: Simplify right side
    6,948x = 133,125,444
  5. Step 5: Solve for x
    x = 133,125,444/6,948
  6. Step 6: Final answer
    x = 19,160.25

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.