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Finding the Third Proportional to 30,414 and 63,884

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Solution

The third proportional to 30,414 and 63,884 is: 134,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414 : 63,884 = 63,884 : x
  2. Step 2: Convert to fraction form
    30,414/63,884 = 63,884/x
  3. Step 3: Cross multiply
    30,414x = 63,884 × 63,884
  4. Step 4: Simplify right side
    30,414x = 4,081,165,456
  5. Step 5: Solve for x
    x = 4,081,165,456/30,414
  6. Step 6: Final answer
    x = 134,187.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.