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Finding the Third Proportional to 0.69 and 1.06

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Solution

The third proportional to 0.69 and 1.06 is: 1.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.69 : 1.06 = 1.06 : x
  2. Step 2: Convert to fraction form
    0.69/1.06 = 1.06/x
  3. Step 3: Cross multiply
    0.69x = 1.06 × 1.06
  4. Step 4: Simplify right side
    0.69x = 1.13
  5. Step 5: Solve for x
    x = 1.13/0.69
  6. Step 6: Final answer
    x = 1.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.