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Finding the Third Proportional to 12,196 and 26,930

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Solution

The third proportional to 12,196 and 26,930 is: 59,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196 : 26,930 = 26,930 : x
  2. Step 2: Convert to fraction form
    12,196/26,930 = 26,930/x
  3. Step 3: Cross multiply
    12,196x = 26,930 × 26,930
  4. Step 4: Simplify right side
    12,196x = 725,224,900
  5. Step 5: Solve for x
    x = 725,224,900/12,196
  6. Step 6: Final answer
    x = 59,464.16

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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.