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Finding the Third Proportional to 32,323 and 67,413

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Solution

The third proportional to 32,323 and 67,413 is: 140,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323 : 67,413 = 67,413 : x
  2. Step 2: Convert to fraction form
    32,323/67,413 = 67,413/x
  3. Step 3: Cross multiply
    32,323x = 67,413 × 67,413
  4. Step 4: Simplify right side
    32,323x = 4,544,512,569
  5. Step 5: Solve for x
    x = 4,544,512,569/32,323
  6. Step 6: Final answer
    x = 140,596.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.