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Finding the Third Proportional to 0.45 and 1.06

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Solution

The third proportional to 0.45 and 1.06 is: 2.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.45 : 1.06 = 1.06 : x
  2. Step 2: Convert to fraction form
    0.45/1.06 = 1.06/x
  3. Step 3: Cross multiply
    0.45x = 1.06 × 1.06
  4. Step 4: Simplify right side
    0.45x = 1.13
  5. Step 5: Solve for x
    x = 1.13/0.45
  6. Step 6: Final answer
    x = 2.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.