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Finding the Third Proportional to 14.66 and 30.35

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Solution

The third proportional to 14.66 and 30.35 is: 62.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.66 : 30.35 = 30.35 : x
  2. Step 2: Convert to fraction form
    14.66/30.35 = 30.35/x
  3. Step 3: Cross multiply
    14.66x = 30.35 × 30.35
  4. Step 4: Simplify right side
    14.66x = 921.04
  5. Step 5: Solve for x
    x = 921.04/14.66
  6. Step 6: Final answer
    x = 62.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.