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Finding the Third Proportional to 12,049 and 26,678

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Solution

The third proportional to 12,049 and 26,678 is: 59,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049 : 26,678 = 26,678 : x
  2. Step 2: Convert to fraction form
    12,049/26,678 = 26,678/x
  3. Step 3: Cross multiply
    12,049x = 26,678 × 26,678
  4. Step 4: Simplify right side
    12,049x = 711,715,684
  5. Step 5: Solve for x
    x = 711,715,684/12,049
  6. Step 6: Final answer
    x = 59,068.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.