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Finding the Third Proportional to 42,322 and 63,350

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Solution

The third proportional to 42,322 and 63,350 is: 94,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322 : 63,350 = 63,350 : x
  2. Step 2: Convert to fraction form
    42,322/63,350 = 63,350/x
  3. Step 3: Cross multiply
    42,322x = 63,350 × 63,350
  4. Step 4: Simplify right side
    42,322x = 4,013,222,500
  5. Step 5: Solve for x
    x = 4,013,222,500/42,322
  6. Step 6: Final answer
    x = 94,825.92

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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.