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Finding the Third Proportional to 2.00 and 2.92

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Solution

The third proportional to 2.00 and 2.92 is: 4.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 2.92 = 2.92 : x
  2. Step 2: Convert to fraction form
    2.00/2.92 = 2.92/x
  3. Step 3: Cross multiply
    2.00x = 2.92 × 2.92
  4. Step 4: Simplify right side
    2.00x = 8.53
  5. Step 5: Solve for x
    x = 8.53/2.00
  6. Step 6: Final answer
    x = 4.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.