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Finding the Third Proportional to 32.13 and 47.94

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Solution

The third proportional to 32.13 and 47.94 is: 71.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.13 : 47.94 = 47.94 : x
  2. Step 2: Convert to fraction form
    32.13/47.94 = 47.94/x
  3. Step 3: Cross multiply
    32.13x = 47.94 × 47.94
  4. Step 4: Simplify right side
    32.13x = 2,298.00
  5. Step 5: Solve for x
    x = 2,298.00/32.13
  6. Step 6: Final answer
    x = 71.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.