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Finding the Third Proportional to 32.48 and 44.72

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Solution

The third proportional to 32.48 and 44.72 is: 61.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.48 : 44.72 = 44.72 : x
  2. Step 2: Convert to fraction form
    32.48/44.72 = 44.72/x
  3. Step 3: Cross multiply
    32.48x = 44.72 × 44.72
  4. Step 4: Simplify right side
    32.48x = 1,999.77
  5. Step 5: Solve for x
    x = 1,999.77/32.48
  6. Step 6: Final answer
    x = 61.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.