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Finding the Third Proportional to 12,334.78 and 27,129.94

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Solution

The third proportional to 12,334.78 and 27,129.94 is: 59,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.78 : 27,129.94 = 27,129.94 : x
  2. Step 2: Convert to fraction form
    12,334.78/27,129.94 = 27,129.94/x
  3. Step 3: Cross multiply
    12,334.78x = 27,129.94 × 27,129.94
  4. Step 4: Simplify right side
    12,334.78x = 736,033,508.75
  5. Step 5: Solve for x
    x = 736,033,508.75/12,334.78
  6. Step 6: Final answer
    x = 59,671.39

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1.5x scale

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.