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Finding the Third Proportional to 6,781 and 12,437

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Solution

The third proportional to 6,781 and 12,437 is: 22,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781 : 12,437 = 12,437 : x
  2. Step 2: Convert to fraction form
    6,781/12,437 = 12,437/x
  3. Step 3: Cross multiply
    6,781x = 12,437 × 12,437
  4. Step 4: Simplify right side
    6,781x = 154,678,969
  5. Step 5: Solve for x
    x = 154,678,969/6,781
  6. Step 6: Final answer
    x = 22,810.64

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.