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Finding the Third Proportional to 1.01 and 1.50

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Solution

The third proportional to 1.01 and 1.50 is: 2.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.01 : 1.50 = 1.50 : x
  2. Step 2: Convert to fraction form
    1.01/1.50 = 1.50/x
  3. Step 3: Cross multiply
    1.01x = 1.50 × 1.50
  4. Step 4: Simplify right side
    1.01x = 2.25
  5. Step 5: Solve for x
    x = 2.25/1.01
  6. Step 6: Final answer
    x = 2.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.