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Finding the Third Proportional to 13.76 and 21.99

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Solution

The third proportional to 13.76 and 21.99 is: 35.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 21.99 = 21.99 : x
  2. Step 2: Convert to fraction form
    13.76/21.99 = 21.99/x
  3. Step 3: Cross multiply
    13.76x = 21.99 × 21.99
  4. Step 4: Simplify right side
    13.76x = 483.57
  5. Step 5: Solve for x
    x = 483.57/13.76
  6. Step 6: Final answer
    x = 35.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.