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Finding the Third Proportional to 23.29 and 36.99

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Solution

The third proportional to 23.29 and 36.99 is: 58.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 36.99 = 36.99 : x
  2. Step 2: Convert to fraction form
    23.29/36.99 = 36.99/x
  3. Step 3: Cross multiply
    23.29x = 36.99 × 36.99
  4. Step 4: Simplify right side
    23.29x = 1,368.19
  5. Step 5: Solve for x
    x = 1,368.19/23.29
  6. Step 6: Final answer
    x = 58.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.