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Finding the Third Proportional to 13.00 and 22.19

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Solution

The third proportional to 13.00 and 22.19 is: 37.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.00 : 22.19 = 22.19 : x
  2. Step 2: Convert to fraction form
    13.00/22.19 = 22.19/x
  3. Step 3: Cross multiply
    13.00x = 22.19 × 22.19
  4. Step 4: Simplify right side
    13.00x = 492.61
  5. Step 5: Solve for x
    x = 492.61/13.00
  6. Step 6: Final answer
    x = 37.89

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.