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Finding the Third Proportional to 32,418 and 46,851

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Solution

The third proportional to 32,418 and 46,851 is: 67,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,418 : 46,851 = 46,851 : x
  2. Step 2: Convert to fraction form
    32,418/46,851 = 46,851/x
  3. Step 3: Cross multiply
    32,418x = 46,851 × 46,851
  4. Step 4: Simplify right side
    32,418x = 2,195,016,201
  5. Step 5: Solve for x
    x = 2,195,016,201/32,418
  6. Step 6: Final answer
    x = 67,709.80

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.