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Finding the Third Proportional to 14.58 and 21.18

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Solution

The third proportional to 14.58 and 21.18 is: 30.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.58 : 21.18 = 21.18 : x
  2. Step 2: Convert to fraction form
    14.58/21.18 = 21.18/x
  3. Step 3: Cross multiply
    14.58x = 21.18 × 21.18
  4. Step 4: Simplify right side
    14.58x = 448.46
  5. Step 5: Solve for x
    x = 448.46/14.58
  6. Step 6: Final answer
    x = 30.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.