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Finding the Third Proportional to 12,408.19 and 29,194.17

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Solution

The third proportional to 12,408.19 and 29,194.17 is: 68,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.19 : 29,194.17 = 29,194.17 : x
  2. Step 2: Convert to fraction form
    12,408.19/29,194.17 = 29,194.17/x
  3. Step 3: Cross multiply
    12,408.19x = 29,194.17 × 29,194.17
  4. Step 4: Simplify right side
    12,408.19x = 852,299,671.47
  5. Step 5: Solve for x
    x = 852,299,671.47/12,408.19
  6. Step 6: Final answer
    x = 68,688.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.