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Finding the Third Proportional to 6,883.50 and 14,959.50

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Solution

The third proportional to 6,883.50 and 14,959.50 is: 32,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.50 : 14,959.50 = 14,959.50 : x
  2. Step 2: Convert to fraction form
    6,883.50/14,959.50 = 14,959.50/x
  3. Step 3: Cross multiply
    6,883.50x = 14,959.50 × 14,959.50
  4. Step 4: Simplify right side
    6,883.50x = 223,786,640.25
  5. Step 5: Solve for x
    x = 223,786,640.25/6,883.50
  6. Step 6: Final answer
    x = 32,510.59

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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.