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Finding the Third Proportional to 12,201.75 and 26,678.25

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Solution

The third proportional to 12,201.75 and 26,678.25 is: 58,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.75 : 26,678.25 = 26,678.25 : x
  2. Step 2: Convert to fraction form
    12,201.75/26,678.25 = 26,678.25/x
  3. Step 3: Cross multiply
    12,201.75x = 26,678.25 × 26,678.25
  4. Step 4: Simplify right side
    12,201.75x = 711,729,023.06
  5. Step 5: Solve for x
    x = 711,729,023.06/12,201.75
  6. Step 6: Final answer
    x = 58,330.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.