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Finding the Third Proportional to 8,374 and 12,580

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Solution

The third proportional to 8,374 and 12,580 is: 18,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374 : 12,580 = 12,580 : x
  2. Step 2: Convert to fraction form
    8,374/12,580 = 12,580/x
  3. Step 3: Cross multiply
    8,374x = 12,580 × 12,580
  4. Step 4: Simplify right side
    8,374x = 158,256,400
  5. Step 5: Solve for x
    x = 158,256,400/8,374
  6. Step 6: Final answer
    x = 18,898.54

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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.