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Finding the Third Proportional to 42.93 and 95.45

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Solution

The third proportional to 42.93 and 95.45 is: 212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.93 : 95.45 = 95.45 : x
  2. Step 2: Convert to fraction form
    42.93/95.45 = 95.45/x
  3. Step 3: Cross multiply
    42.93x = 95.45 × 95.45
  4. Step 4: Simplify right side
    42.93x = 9,110.55
  5. Step 5: Solve for x
    x = 9,110.55/42.93
  6. Step 6: Final answer
    x = 212.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.