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Finding the Third Proportional to 29.54 and 39.51

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Solution

The third proportional to 29.54 and 39.51 is: 52.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.54 : 39.51 = 39.51 : x
  2. Step 2: Convert to fraction form
    29.54/39.51 = 39.51/x
  3. Step 3: Cross multiply
    29.54x = 39.51 × 39.51
  4. Step 4: Simplify right side
    29.54x = 1,561.14
  5. Step 5: Solve for x
    x = 1,561.14/29.54
  6. Step 6: Final answer
    x = 52.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.