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Finding the Third Proportional to 32.25 and 47.25

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Solution

The third proportional to 32.25 and 47.25 is: 69.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.25 : 47.25 = 47.25 : x
  2. Step 2: Convert to fraction form
    32.25/47.25 = 47.25/x
  3. Step 3: Cross multiply
    32.25x = 47.25 × 47.25
  4. Step 4: Simplify right side
    32.25x = 2,232.56
  5. Step 5: Solve for x
    x = 2,232.56/32.25
  6. Step 6: Final answer
    x = 69.23

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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.