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Finding the Third Proportional to 32,399 and 50,284

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Solution

The third proportional to 32,399 and 50,284 is: 78,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,399 : 50,284 = 50,284 : x
  2. Step 2: Convert to fraction form
    32,399/50,284 = 50,284/x
  3. Step 3: Cross multiply
    32,399x = 50,284 × 50,284
  4. Step 4: Simplify right side
    32,399x = 2,528,480,656
  5. Step 5: Solve for x
    x = 2,528,480,656/32,399
  6. Step 6: Final answer
    x = 78,041.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.