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Finding the Third Proportional to 26.60 and 39.06

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Solution

The third proportional to 26.60 and 39.06 is: 57.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.60 : 39.06 = 39.06 : x
  2. Step 2: Convert to fraction form
    26.60/39.06 = 39.06/x
  3. Step 3: Cross multiply
    26.60x = 39.06 × 39.06
  4. Step 4: Simplify right side
    26.60x = 1,525.57
  5. Step 5: Solve for x
    x = 1,525.57/26.60
  6. Step 6: Final answer
    x = 57.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.