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Finding the Third Proportional to 13,370 and 20,770

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Solution

The third proportional to 13,370 and 20,770 is: 32,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370 : 20,770 = 20,770 : x
  2. Step 2: Convert to fraction form
    13,370/20,770 = 20,770/x
  3. Step 3: Cross multiply
    13,370x = 20,770 × 20,770
  4. Step 4: Simplify right side
    13,370x = 431,392,900
  5. Step 5: Solve for x
    x = 431,392,900/13,370
  6. Step 6: Final answer
    x = 32,265.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.