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Finding the Third Proportional to 26.08 and 37.07

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Solution

The third proportional to 26.08 and 37.07 is: 52.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.08 : 37.07 = 37.07 : x
  2. Step 2: Convert to fraction form
    26.08/37.07 = 37.07/x
  3. Step 3: Cross multiply
    26.08x = 37.07 × 37.07
  4. Step 4: Simplify right side
    26.08x = 1,374.21
  5. Step 5: Solve for x
    x = 1,374.21/26.08
  6. Step 6: Final answer
    x = 52.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.