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Finding the Third Proportional to 12,612 and 22,128

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Solution

The third proportional to 12,612 and 22,128 is: 38,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612 : 22,128 = 22,128 : x
  2. Step 2: Convert to fraction form
    12,612/22,128 = 22,128/x
  3. Step 3: Cross multiply
    12,612x = 22,128 × 22,128
  4. Step 4: Simplify right side
    12,612x = 489,648,384
  5. Step 5: Solve for x
    x = 489,648,384/12,612
  6. Step 6: Final answer
    x = 38,824.01

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.