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Finding the Third Proportional to 1.46 and 3.20

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Solution

The third proportional to 1.46 and 3.20 is: 7.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.46 : 3.20 = 3.20 : x
  2. Step 2: Convert to fraction form
    1.46/3.20 = 3.20/x
  3. Step 3: Cross multiply
    1.46x = 3.20 × 3.20
  4. Step 4: Simplify right side
    1.46x = 10.26
  5. Step 5: Solve for x
    x = 10.26/1.46
  6. Step 6: Final answer
    x = 7.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.