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Finding the Third Proportional to 44.77 and 97.04

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Solution

The third proportional to 44.77 and 97.04 is: 210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.77 : 97.04 = 97.04 : x
  2. Step 2: Convert to fraction form
    44.77/97.04 = 97.04/x
  3. Step 3: Cross multiply
    44.77x = 97.04 × 97.04
  4. Step 4: Simplify right side
    44.77x = 9,417.34
  5. Step 5: Solve for x
    x = 9,417.34/44.77
  6. Step 6: Final answer
    x = 210.37

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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.