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Finding the Third Proportional to 44.69 and 97.06

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Solution

The third proportional to 44.69 and 97.06 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.69 : 97.06 = 97.06 : x
  2. Step 2: Convert to fraction form
    44.69/97.06 = 97.06/x
  3. Step 3: Cross multiply
    44.69x = 97.06 × 97.06
  4. Step 4: Simplify right side
    44.69x = 9,421.13
  5. Step 5: Solve for x
    x = 9,421.13/44.69
  6. Step 6: Final answer
    x = 210.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.