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Finding the Third Proportional to 29.71 and 43.54

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Solution

The third proportional to 29.71 and 43.54 is: 63.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.71 : 43.54 = 43.54 : x
  2. Step 2: Convert to fraction form
    29.71/43.54 = 43.54/x
  3. Step 3: Cross multiply
    29.71x = 43.54 × 43.54
  4. Step 4: Simplify right side
    29.71x = 1,895.31
  5. Step 5: Solve for x
    x = 1,895.31/29.71
  6. Step 6: Final answer
    x = 63.80

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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.