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Finding the Third Proportional to 32,367 and 48,847.50

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Solution

The third proportional to 32,367 and 48,847.50 is: 73,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367 : 48,847.50 = 48,847.50 : x
  2. Step 2: Convert to fraction form
    32,367/48,847.50 = 48,847.50/x
  3. Step 3: Cross multiply
    32,367x = 48,847.50 × 48,847.50
  4. Step 4: Simplify right side
    32,367x = 2,386,078,256.25
  5. Step 5: Solve for x
    x = 2,386,078,256.25/32,367
  6. Step 6: Final answer
    x = 73,719.48

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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.