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Finding the Third Proportional to 14.59 and 21.93

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Solution

The third proportional to 14.59 and 21.93 is: 32.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.59 : 21.93 = 21.93 : x
  2. Step 2: Convert to fraction form
    14.59/21.93 = 21.93/x
  3. Step 3: Cross multiply
    14.59x = 21.93 × 21.93
  4. Step 4: Simplify right side
    14.59x = 481.13
  5. Step 5: Solve for x
    x = 481.13/14.59
  6. Step 6: Final answer
    x = 32.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.