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Finding the Third Proportional to 6,817.50 and 12,678.19

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Solution

The third proportional to 6,817.50 and 12,678.19 is: 23,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.50 : 12,678.19 = 12,678.19 : x
  2. Step 2: Convert to fraction form
    6,817.50/12,678.19 = 12,678.19/x
  3. Step 3: Cross multiply
    6,817.50x = 12,678.19 × 12,678.19
  4. Step 4: Simplify right side
    6,817.50x = 160,736,438.29
  5. Step 5: Solve for x
    x = 160,736,438.29/6,817.50
  6. Step 6: Final answer
    x = 23,577.04

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.