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Finding the Third Proportional to 5,006 and 10,681

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Solution

The third proportional to 5,006 and 10,681 is: 22,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 10,681 = 10,681 : x
  2. Step 2: Convert to fraction form
    5,006/10,681 = 10,681/x
  3. Step 3: Cross multiply
    5,006x = 10,681 × 10,681
  4. Step 4: Simplify right side
    5,006x = 114,083,761
  5. Step 5: Solve for x
    x = 114,083,761/5,006
  6. Step 6: Final answer
    x = 22,789.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.