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Finding the Third Proportional to 32.48 and 44.51

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Solution

The third proportional to 32.48 and 44.51 is: 60.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.48 : 44.51 = 44.51 : x
  2. Step 2: Convert to fraction form
    32.48/44.51 = 44.51/x
  3. Step 3: Cross multiply
    32.48x = 44.51 × 44.51
  4. Step 4: Simplify right side
    32.48x = 1,980.95
  5. Step 5: Solve for x
    x = 1,980.95/32.48
  6. Step 6: Final answer
    x = 60.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.