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Finding the Third Proportional to 32,108 and 49,413

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Solution

The third proportional to 32,108 and 49,413 is: 76,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108 : 49,413 = 49,413 : x
  2. Step 2: Convert to fraction form
    32,108/49,413 = 49,413/x
  3. Step 3: Cross multiply
    32,108x = 49,413 × 49,413
  4. Step 4: Simplify right side
    32,108x = 2,441,644,569
  5. Step 5: Solve for x
    x = 2,441,644,569/32,108
  6. Step 6: Final answer
    x = 76,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.