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Finding the Third Proportional to 13,814 and 29,567

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Solution

The third proportional to 13,814 and 29,567 is: 63,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814 : 29,567 = 29,567 : x
  2. Step 2: Convert to fraction form
    13,814/29,567 = 29,567/x
  3. Step 3: Cross multiply
    13,814x = 29,567 × 29,567
  4. Step 4: Simplify right side
    13,814x = 874,207,489
  5. Step 5: Solve for x
    x = 874,207,489/13,814
  6. Step 6: Final answer
    x = 63,284.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.