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Finding the Third Proportional to 13,850 and 30,470

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Solution

The third proportional to 13,850 and 30,470 is: 67,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850 : 30,470 = 30,470 : x
  2. Step 2: Convert to fraction form
    13,850/30,470 = 30,470/x
  3. Step 3: Cross multiply
    13,850x = 30,470 × 30,470
  4. Step 4: Simplify right side
    13,850x = 928,420,900
  5. Step 5: Solve for x
    x = 928,420,900/13,850
  6. Step 6: Final answer
    x = 67,034

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.