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Finding the Third Proportional to 4.65 and 10.14

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Solution

The third proportional to 4.65 and 10.14 is: 22.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.65 : 10.14 = 10.14 : x
  2. Step 2: Convert to fraction form
    4.65/10.14 = 10.14/x
  3. Step 3: Cross multiply
    4.65x = 10.14 × 10.14
  4. Step 4: Simplify right side
    4.65x = 102.89
  5. Step 5: Solve for x
    x = 102.89/4.65
  6. Step 6: Final answer
    x = 22.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.