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Finding the Third Proportional to 32.91 and 58.22

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Solution

The third proportional to 32.91 and 58.22 is: 103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.91 : 58.22 = 58.22 : x
  2. Step 2: Convert to fraction form
    32.91/58.22 = 58.22/x
  3. Step 3: Cross multiply
    32.91x = 58.22 × 58.22
  4. Step 4: Simplify right side
    32.91x = 3,389.42
  5. Step 5: Solve for x
    x = 3,389.42/32.91
  6. Step 6: Final answer
    x = 103.00

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.