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Finding the Third Proportional to 32.06 and 48.30

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Solution

The third proportional to 32.06 and 48.30 is: 72.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.06 : 48.30 = 48.30 : x
  2. Step 2: Convert to fraction form
    32.06/48.30 = 48.30/x
  3. Step 3: Cross multiply
    32.06x = 48.30 × 48.30
  4. Step 4: Simplify right side
    32.06x = 2,333.34
  5. Step 5: Solve for x
    x = 2,333.34/32.06
  6. Step 6: Final answer
    x = 72.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.