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Finding the Third Proportional to 12,222 and 26,394

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Solution

The third proportional to 12,222 and 26,394 is: 56,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222 : 26,394 = 26,394 : x
  2. Step 2: Convert to fraction form
    12,222/26,394 = 26,394/x
  3. Step 3: Cross multiply
    12,222x = 26,394 × 26,394
  4. Step 4: Simplify right side
    12,222x = 696,643,236
  5. Step 5: Solve for x
    x = 696,643,236/12,222
  6. Step 6: Final answer
    x = 56,999.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.