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Finding the Third Proportional to 30,884 and 67,552

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Solution

The third proportional to 30,884 and 67,552 is: 147,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884 : 67,552 = 67,552 : x
  2. Step 2: Convert to fraction form
    30,884/67,552 = 67,552/x
  3. Step 3: Cross multiply
    30,884x = 67,552 × 67,552
  4. Step 4: Simplify right side
    30,884x = 4,563,272,704
  5. Step 5: Solve for x
    x = 4,563,272,704/30,884
  6. Step 6: Final answer
    x = 147,755.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.