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Finding the Third Proportional to 0.65 and 0.91

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Solution

The third proportional to 0.65 and 0.91 is: 1.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.65 : 0.91 = 0.91 : x
  2. Step 2: Convert to fraction form
    0.65/0.91 = 0.91/x
  3. Step 3: Cross multiply
    0.65x = 0.91 × 0.91
  4. Step 4: Simplify right side
    0.65x = 0.83
  5. Step 5: Solve for x
    x = 0.83/0.65
  6. Step 6: Final answer
    x = 1.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.