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Finding the Third Proportional to 8,478 and 12,717

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Solution

The third proportional to 8,478 and 12,717 is: 19,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 12,717 = 12,717 : x
  2. Step 2: Convert to fraction form
    8,478/12,717 = 12,717/x
  3. Step 3: Cross multiply
    8,478x = 12,717 × 12,717
  4. Step 4: Simplify right side
    8,478x = 161,722,089
  5. Step 5: Solve for x
    x = 161,722,089/8,478
  6. Step 6: Final answer
    x = 19,075.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.