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Finding the Third Proportional to 13,770 and 29,682

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Solution

The third proportional to 13,770 and 29,682 is: 63,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 29,682 = 29,682 : x
  2. Step 2: Convert to fraction form
    13,770/29,682 = 29,682/x
  3. Step 3: Cross multiply
    13,770x = 29,682 × 29,682
  4. Step 4: Simplify right side
    13,770x = 881,021,124
  5. Step 5: Solve for x
    x = 881,021,124/13,770
  6. Step 6: Final answer
    x = 63,981.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.