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Finding the Third Proportional to 12,022.88 and 26,258.06

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Solution

The third proportional to 12,022.88 and 26,258.06 is: 57,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.88 : 26,258.06 = 26,258.06 : x
  2. Step 2: Convert to fraction form
    12,022.88/26,258.06 = 26,258.06/x
  3. Step 3: Cross multiply
    12,022.88x = 26,258.06 × 26,258.06
  4. Step 4: Simplify right side
    12,022.88x = 689,485,846.25
  5. Step 5: Solve for x
    x = 689,485,846.25/12,022.88
  6. Step 6: Final answer
    x = 57,347.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.