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Finding the Third Proportional to 2.31 and 3.70

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Solution

The third proportional to 2.31 and 3.70 is: 5.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.31 : 3.70 = 3.70 : x
  2. Step 2: Convert to fraction form
    2.31/3.70 = 3.70/x
  3. Step 3: Cross multiply
    2.31x = 3.70 × 3.70
  4. Step 4: Simplify right side
    2.31x = 13.71
  5. Step 5: Solve for x
    x = 13.71/2.31
  6. Step 6: Final answer
    x = 5.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.