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Finding the Third Proportional to 5.02 and 10.64

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Solution

The third proportional to 5.02 and 10.64 is: 22.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.02 : 10.64 = 10.64 : x
  2. Step 2: Convert to fraction form
    5.02/10.64 = 10.64/x
  3. Step 3: Cross multiply
    5.02x = 10.64 × 10.64
  4. Step 4: Simplify right side
    5.02x = 113.19
  5. Step 5: Solve for x
    x = 113.19/5.02
  6. Step 6: Final answer
    x = 22.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.