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Finding the Third Proportional to 32,834 and 48,099

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Solution

The third proportional to 32,834 and 48,099 is: 70,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834 : 48,099 = 48,099 : x
  2. Step 2: Convert to fraction form
    32,834/48,099 = 48,099/x
  3. Step 3: Cross multiply
    32,834x = 48,099 × 48,099
  4. Step 4: Simplify right side
    32,834x = 2,313,513,801
  5. Step 5: Solve for x
    x = 2,313,513,801/32,834
  6. Step 6: Final answer
    x = 70,460.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.