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Finding the Third Proportional to 29.53 and 43.24

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Solution

The third proportional to 29.53 and 43.24 is: 63.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.53 : 43.24 = 43.24 : x
  2. Step 2: Convert to fraction form
    29.53/43.24 = 43.24/x
  3. Step 3: Cross multiply
    29.53x = 43.24 × 43.24
  4. Step 4: Simplify right side
    29.53x = 1,869.89
  5. Step 5: Solve for x
    x = 1,869.89/29.53
  6. Step 6: Final answer
    x = 63.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.