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Finding the Third Proportional to 44.85 and 97.10

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Solution

The third proportional to 44.85 and 97.10 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.85 : 97.10 = 97.10 : x
  2. Step 2: Convert to fraction form
    44.85/97.10 = 97.10/x
  3. Step 3: Cross multiply
    44.85x = 97.10 × 97.10
  4. Step 4: Simplify right side
    44.85x = 9,428.98
  5. Step 5: Solve for x
    x = 9,428.98/44.85
  6. Step 6: Final answer
    x = 210.24

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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.