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Finding the Third Proportional to 32.02 and 49.24

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Solution

The third proportional to 32.02 and 49.24 is: 75.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.02 : 49.24 = 49.24 : x
  2. Step 2: Convert to fraction form
    32.02/49.24 = 49.24/x
  3. Step 3: Cross multiply
    32.02x = 49.24 × 49.24
  4. Step 4: Simplify right side
    32.02x = 2,424.79
  5. Step 5: Solve for x
    x = 2,424.79/32.02
  6. Step 6: Final answer
    x = 75.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.