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Finding the Third Proportional to 1.01 and 2.13

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Solution

The third proportional to 1.01 and 2.13 is: 4.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.01 : 2.13 = 2.13 : x
  2. Step 2: Convert to fraction form
    1.01/2.13 = 2.13/x
  3. Step 3: Cross multiply
    1.01x = 2.13 × 2.13
  4. Step 4: Simplify right side
    1.01x = 4.55
  5. Step 5: Solve for x
    x = 4.55/1.01
  6. Step 6: Final answer
    x = 4.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.