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Finding the Third Proportional to 4.69 and 7.01

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Solution

The third proportional to 4.69 and 7.01 is: 10.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.69 : 7.01 = 7.01 : x
  2. Step 2: Convert to fraction form
    4.69/7.01 = 7.01/x
  3. Step 3: Cross multiply
    4.69x = 7.01 × 7.01
  4. Step 4: Simplify right side
    4.69x = 49.19
  5. Step 5: Solve for x
    x = 49.19/4.69
  6. Step 6: Final answer
    x = 10.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.