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Finding the Third Proportional to 12,484.50 and 27,438

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Solution

The third proportional to 12,484.50 and 27,438 is: 60,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.50 : 27,438 = 27,438 : x
  2. Step 2: Convert to fraction form
    12,484.50/27,438 = 27,438/x
  3. Step 3: Cross multiply
    12,484.50x = 27,438 × 27,438
  4. Step 4: Simplify right side
    12,484.50x = 752,843,844
  5. Step 5: Solve for x
    x = 752,843,844/12,484.50
  6. Step 6: Final answer
    x = 60,302.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.