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Finding the Third Proportional to 6,912 and 12,426.75

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Solution

The third proportional to 6,912 and 12,426.75 is: 22,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 12,426.75 = 12,426.75 : x
  2. Step 2: Convert to fraction form
    6,912/12,426.75 = 12,426.75/x
  3. Step 3: Cross multiply
    6,912x = 12,426.75 × 12,426.75
  4. Step 4: Simplify right side
    6,912x = 154,424,115.56
  5. Step 5: Solve for x
    x = 154,424,115.56/6,912
  6. Step 6: Final answer
    x = 22,341.45

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.