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Finding the Third Proportional to 12,965 and 27,706

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Solution

The third proportional to 12,965 and 27,706 is: 59,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965 : 27,706 = 27,706 : x
  2. Step 2: Convert to fraction form
    12,965/27,706 = 27,706/x
  3. Step 3: Cross multiply
    12,965x = 27,706 × 27,706
  4. Step 4: Simplify right side
    12,965x = 767,622,436
  5. Step 5: Solve for x
    x = 767,622,436/12,965
  6. Step 6: Final answer
    x = 59,207.28

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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.