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Finding the Third Proportional to 26.02 and 40.10

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Solution

The third proportional to 26.02 and 40.10 is: 61.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.02 : 40.10 = 40.10 : x
  2. Step 2: Convert to fraction form
    26.02/40.10 = 40.10/x
  3. Step 3: Cross multiply
    26.02x = 40.10 × 40.10
  4. Step 4: Simplify right side
    26.02x = 1,608.37
  5. Step 5: Solve for x
    x = 1,608.37/26.02
  6. Step 6: Final answer
    x = 61.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.