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Finding the Third Proportional to 8,508 and 13,143

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Solution

The third proportional to 8,508 and 13,143 is: 20,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508 : 13,143 = 13,143 : x
  2. Step 2: Convert to fraction form
    8,508/13,143 = 13,143/x
  3. Step 3: Cross multiply
    8,508x = 13,143 × 13,143
  4. Step 4: Simplify right side
    8,508x = 172,738,449
  5. Step 5: Solve for x
    x = 172,738,449/8,508
  6. Step 6: Final answer
    x = 20,303.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.