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Finding the Third Proportional to 32,194 and 48,106

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Solution

The third proportional to 32,194 and 48,106 is: 71,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194 : 48,106 = 48,106 : x
  2. Step 2: Convert to fraction form
    32,194/48,106 = 48,106/x
  3. Step 3: Cross multiply
    32,194x = 48,106 × 48,106
  4. Step 4: Simplify right side
    32,194x = 2,314,187,236
  5. Step 5: Solve for x
    x = 2,314,187,236/32,194
  6. Step 6: Final answer
    x = 71,882.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.