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Finding the Third Proportional to 1.46 and 2.99

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Solution

The third proportional to 1.46 and 2.99 is: 6.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.46 : 2.99 = 2.99 : x
  2. Step 2: Convert to fraction form
    1.46/2.99 = 2.99/x
  3. Step 3: Cross multiply
    1.46x = 2.99 × 2.99
  4. Step 4: Simplify right side
    1.46x = 8.92
  5. Step 5: Solve for x
    x = 8.92/1.46
  6. Step 6: Final answer
    x = 6.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.