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Finding the Third Proportional to 14.10 and 30.10

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Solution

The third proportional to 14.10 and 30.10 is: 64.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.10 : 30.10 = 30.10 : x
  2. Step 2: Convert to fraction form
    14.10/30.10 = 30.10/x
  3. Step 3: Cross multiply
    14.10x = 30.10 × 30.10
  4. Step 4: Simplify right side
    14.10x = 906.04
  5. Step 5: Solve for x
    x = 906.04/14.10
  6. Step 6: Final answer
    x = 64.25

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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.