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Finding the Third Proportional to 26.01 and 60.23

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Solution

The third proportional to 26.01 and 60.23 is: 139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.01 : 60.23 = 60.23 : x
  2. Step 2: Convert to fraction form
    26.01/60.23 = 60.23/x
  3. Step 3: Cross multiply
    26.01x = 60.23 × 60.23
  4. Step 4: Simplify right side
    26.01x = 3,627.76
  5. Step 5: Solve for x
    x = 3,627.76/26.01
  6. Step 6: Final answer
    x = 139.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.