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Finding the Third Proportional to 30,639 and 42,192

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Solution

The third proportional to 30,639 and 42,192 is: 58,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,639 : 42,192 = 42,192 : x
  2. Step 2: Convert to fraction form
    30,639/42,192 = 42,192/x
  3. Step 3: Cross multiply
    30,639x = 42,192 × 42,192
  4. Step 4: Simplify right side
    30,639x = 1,780,164,864
  5. Step 5: Solve for x
    x = 1,780,164,864/30,639
  6. Step 6: Final answer
    x = 58,101.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.