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Finding the Third Proportional to 6,850 and 14,770

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Solution

The third proportional to 6,850 and 14,770 is: 31,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850 : 14,770 = 14,770 : x
  2. Step 2: Convert to fraction form
    6,850/14,770 = 14,770/x
  3. Step 3: Cross multiply
    6,850x = 14,770 × 14,770
  4. Step 4: Simplify right side
    6,850x = 218,152,900
  5. Step 5: Solve for x
    x = 218,152,900/6,850
  6. Step 6: Final answer
    x = 31,847.14

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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.