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Finding the Third Proportional to 32,496 and 49,100

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Solution

The third proportional to 32,496 and 49,100 is: 74,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496 : 49,100 = 49,100 : x
  2. Step 2: Convert to fraction form
    32,496/49,100 = 49,100/x
  3. Step 3: Cross multiply
    32,496x = 49,100 × 49,100
  4. Step 4: Simplify right side
    32,496x = 2,410,810,000
  5. Step 5: Solve for x
    x = 2,410,810,000/32,496
  6. Step 6: Final answer
    x = 74,187.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.