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Finding the Third Proportional to 0.45 and 1.01

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Solution

The third proportional to 0.45 and 1.01 is: 2.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.45 : 1.01 = 1.01 : x
  2. Step 2: Convert to fraction form
    0.45/1.01 = 1.01/x
  3. Step 3: Cross multiply
    0.45x = 1.01 × 1.01
  4. Step 4: Simplify right side
    0.45x = 1.02
  5. Step 5: Solve for x
    x = 1.02/0.45
  6. Step 6: Final answer
    x = 2.29

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.