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Finding the Third Proportional to 26.47 and 40.47

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Solution

The third proportional to 26.47 and 40.47 is: 61.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.47 : 40.47 = 40.47 : x
  2. Step 2: Convert to fraction form
    26.47/40.47 = 40.47/x
  3. Step 3: Cross multiply
    26.47x = 40.47 × 40.47
  4. Step 4: Simplify right side
    26.47x = 1,637.72
  5. Step 5: Solve for x
    x = 1,637.72/26.47
  6. Step 6: Final answer
    x = 61.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.