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Finding the Third Proportional to 2.51 and 4.70

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Solution

The third proportional to 2.51 and 4.70 is: 8.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 4.70 = 4.70 : x
  2. Step 2: Convert to fraction form
    2.51/4.70 = 4.70/x
  3. Step 3: Cross multiply
    2.51x = 4.70 × 4.70
  4. Step 4: Simplify right side
    2.51x = 22.13
  5. Step 5: Solve for x
    x = 22.13/2.51
  6. Step 6: Final answer
    x = 8.81

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.