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Finding the Third Proportional to 14.49 and 30.93

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Solution

The third proportional to 14.49 and 30.93 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.49 : 30.93 = 30.93 : x
  2. Step 2: Convert to fraction form
    14.49/30.93 = 30.93/x
  3. Step 3: Cross multiply
    14.49x = 30.93 × 30.93
  4. Step 4: Simplify right side
    14.49x = 956.51
  5. Step 5: Solve for x
    x = 956.51/14.49
  6. Step 6: Final answer
    x = 66.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.