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Finding the Third Proportional to 42.61 and 97.03

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Solution

The third proportional to 42.61 and 97.03 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.61 : 97.03 = 97.03 : x
  2. Step 2: Convert to fraction form
    42.61/97.03 = 97.03/x
  3. Step 3: Cross multiply
    42.61x = 97.03 × 97.03
  4. Step 4: Simplify right side
    42.61x = 9,415.06
  5. Step 5: Solve for x
    x = 9,415.06/42.61
  6. Step 6: Final answer
    x = 220.96

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.