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Finding the Third Proportional to 6,113.25 and 12,685.50

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Solution

The third proportional to 6,113.25 and 12,685.50 is: 26,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.25 : 12,685.50 = 12,685.50 : x
  2. Step 2: Convert to fraction form
    6,113.25/12,685.50 = 12,685.50/x
  3. Step 3: Cross multiply
    6,113.25x = 12,685.50 × 12,685.50
  4. Step 4: Simplify right side
    6,113.25x = 160,921,910.25
  5. Step 5: Solve for x
    x = 160,921,910.25/6,113.25
  6. Step 6: Final answer
    x = 26,323.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.