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Finding the Third Proportional to 32,893 and 48,110

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Solution

The third proportional to 32,893 and 48,110 is: 70,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893 : 48,110 = 48,110 : x
  2. Step 2: Convert to fraction form
    32,893/48,110 = 48,110/x
  3. Step 3: Cross multiply
    32,893x = 48,110 × 48,110
  4. Step 4: Simplify right side
    32,893x = 2,314,572,100
  5. Step 5: Solve for x
    x = 2,314,572,100/32,893
  6. Step 6: Final answer
    x = 70,366.71

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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.