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Finding the Third Proportional to 42,284 and 63,325

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Solution

The third proportional to 42,284 and 63,325 is: 94,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284 : 63,325 = 63,325 : x
  2. Step 2: Convert to fraction form
    42,284/63,325 = 63,325/x
  3. Step 3: Cross multiply
    42,284x = 63,325 × 63,325
  4. Step 4: Simplify right side
    42,284x = 4,010,055,625
  5. Step 5: Solve for x
    x = 4,010,055,625/42,284
  6. Step 6: Final answer
    x = 94,836.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.