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Finding the Third Proportional to 12,566 and 26,347

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Solution

The third proportional to 12,566 and 26,347 is: 55,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566 : 26,347 = 26,347 : x
  2. Step 2: Convert to fraction form
    12,566/26,347 = 26,347/x
  3. Step 3: Cross multiply
    12,566x = 26,347 × 26,347
  4. Step 4: Simplify right side
    12,566x = 694,164,409
  5. Step 5: Solve for x
    x = 694,164,409/12,566
  6. Step 6: Final answer
    x = 55,241.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.