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Finding the Third Proportional to 10.34 and 22.64

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Solution

The third proportional to 10.34 and 22.64 is: 49.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.34 : 22.64 = 22.64 : x
  2. Step 2: Convert to fraction form
    10.34/22.64 = 22.64/x
  3. Step 3: Cross multiply
    10.34x = 22.64 × 22.64
  4. Step 4: Simplify right side
    10.34x = 512.60
  5. Step 5: Solve for x
    x = 512.60/10.34
  6. Step 6: Final answer
    x = 49.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.