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Finding the Third Proportional to 26.16 and 39.45

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Solution

The third proportional to 26.16 and 39.45 is: 59.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.16 : 39.45 = 39.45 : x
  2. Step 2: Convert to fraction form
    26.16/39.45 = 39.45/x
  3. Step 3: Cross multiply
    26.16x = 39.45 × 39.45
  4. Step 4: Simplify right side
    26.16x = 1,555.93
  5. Step 5: Solve for x
    x = 1,555.93/26.16
  6. Step 6: Final answer
    x = 59.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.