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Finding the Third Proportional to 32.06 and 44.30

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Solution

The third proportional to 32.06 and 44.30 is: 61.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.06 : 44.30 = 44.30 : x
  2. Step 2: Convert to fraction form
    32.06/44.30 = 44.30/x
  3. Step 3: Cross multiply
    32.06x = 44.30 × 44.30
  4. Step 4: Simplify right side
    32.06x = 1,962.21
  5. Step 5: Solve for x
    x = 1,962.21/32.06
  6. Step 6: Final answer
    x = 61.20

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Why These Related Problems?

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