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Finding the Third Proportional to 32,452 and 47,910

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Solution

The third proportional to 32,452 and 47,910 is: 70,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452 : 47,910 = 47,910 : x
  2. Step 2: Convert to fraction form
    32,452/47,910 = 47,910/x
  3. Step 3: Cross multiply
    32,452x = 47,910 × 47,910
  4. Step 4: Simplify right side
    32,452x = 2,295,368,100
  5. Step 5: Solve for x
    x = 2,295,368,100/32,452
  6. Step 6: Final answer
    x = 70,731.18

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.