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Finding the Third Proportional to 13,864 and 22,038

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Solution

The third proportional to 13,864 and 22,038 is: 35,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 22,038 = 22,038 : x
  2. Step 2: Convert to fraction form
    13,864/22,038 = 22,038/x
  3. Step 3: Cross multiply
    13,864x = 22,038 × 22,038
  4. Step 4: Simplify right side
    13,864x = 485,673,444
  5. Step 5: Solve for x
    x = 485,673,444/13,864
  6. Step 6: Final answer
    x = 35,031.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.