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Finding the Third Proportional to 8,068.75 and 11,838.75

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Solution

The third proportional to 8,068.75 and 11,838.75 is: 17,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.75 : 11,838.75 = 11,838.75 : x
  2. Step 2: Convert to fraction form
    8,068.75/11,838.75 = 11,838.75/x
  3. Step 3: Cross multiply
    8,068.75x = 11,838.75 × 11,838.75
  4. Step 4: Simplify right side
    8,068.75x = 140,156,001.56
  5. Step 5: Solve for x
    x = 140,156,001.56/8,068.75
  6. Step 6: Final answer
    x = 17,370.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.