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Finding the Third Proportional to 0.95 and 8.07

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Solution

The third proportional to 0.95 and 8.07 is: 68.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.95 : 8.07 = 8.07 : x
  2. Step 2: Convert to fraction form
    0.95/8.07 = 8.07/x
  3. Step 3: Cross multiply
    0.95x = 8.07 × 8.07
  4. Step 4: Simplify right side
    0.95x = 65.10
  5. Step 5: Solve for x
    x = 65.10/0.95
  6. Step 6: Final answer
    x = 68.58

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Why These Related Problems?

These problems maintain the same ratio (8.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.