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Finding the Third Proportional to 6,961.50 and 15,476.06

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Solution

The third proportional to 6,961.50 and 15,476.06 is: 34,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.50 : 15,476.06 = 15,476.06 : x
  2. Step 2: Convert to fraction form
    6,961.50/15,476.06 = 15,476.06/x
  3. Step 3: Cross multiply
    6,961.50x = 15,476.06 × 15,476.06
  4. Step 4: Simplify right side
    6,961.50x = 239,508,510.50
  5. Step 5: Solve for x
    x = 239,508,510.50/6,961.50
  6. Step 6: Final answer
    x = 34,404.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.