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Finding the Third Proportional to 0.34 and 0.53

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Solution

The third proportional to 0.34 and 0.53 is: 0.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.34 : 0.53 = 0.53 : x
  2. Step 2: Convert to fraction form
    0.34/0.53 = 0.53/x
  3. Step 3: Cross multiply
    0.34x = 0.53 × 0.53
  4. Step 4: Simplify right side
    0.34x = 0.28
  5. Step 5: Solve for x
    x = 0.28/0.34
  6. Step 6: Final answer
    x = 0.82

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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.