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Finding the Third Proportional to 6,232 and 12,770

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Solution

The third proportional to 6,232 and 12,770 is: 26,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232 : 12,770 = 12,770 : x
  2. Step 2: Convert to fraction form
    6,232/12,770 = 12,770/x
  3. Step 3: Cross multiply
    6,232x = 12,770 × 12,770
  4. Step 4: Simplify right side
    6,232x = 163,072,900
  5. Step 5: Solve for x
    x = 163,072,900/6,232
  6. Step 6: Final answer
    x = 26,167.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.