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Finding the Third Proportional to 8,068.50 and 12,678.75

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Solution

The third proportional to 8,068.50 and 12,678.75 is: 19,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.50 : 12,678.75 = 12,678.75 : x
  2. Step 2: Convert to fraction form
    8,068.50/12,678.75 = 12,678.75/x
  3. Step 3: Cross multiply
    8,068.50x = 12,678.75 × 12,678.75
  4. Step 4: Simplify right side
    8,068.50x = 160,750,701.56
  5. Step 5: Solve for x
    x = 160,750,701.56/8,068.50
  6. Step 6: Final answer
    x = 19,923.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.