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Finding the Third Proportional to 29,408.70 and 64,432.97

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Solution

The third proportional to 29,408.70 and 64,432.97 is: 141,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408.70 : 64,432.97 = 64,432.97 : x
  2. Step 2: Convert to fraction form
    29,408.70/64,432.97 = 64,432.97/x
  3. Step 3: Cross multiply
    29,408.70x = 64,432.97 × 64,432.97
  4. Step 4: Simplify right side
    29,408.70x = 4,151,607,461.94
  5. Step 5: Solve for x
    x = 4,151,607,461.94/29,408.70
  6. Step 6: Final answer
    x = 141,169.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.