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Finding the Third Proportional to 0.65 and 0.77

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Solution

The third proportional to 0.65 and 0.77 is: 0.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.65 : 0.77 = 0.77 : x
  2. Step 2: Convert to fraction form
    0.65/0.77 = 0.77/x
  3. Step 3: Cross multiply
    0.65x = 0.77 × 0.77
  4. Step 4: Simplify right side
    0.65x = 0.59
  5. Step 5: Solve for x
    x = 0.59/0.65
  6. Step 6: Final answer
    x = 0.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.