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Finding the Third Proportional to 44,524 and 97,848

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Solution

The third proportional to 44,524 and 97,848 is: 215,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,524 : 97,848 = 97,848 : x
  2. Step 2: Convert to fraction form
    44,524/97,848 = 97,848/x
  3. Step 3: Cross multiply
    44,524x = 97,848 × 97,848
  4. Step 4: Simplify right side
    44,524x = 9,574,231,104
  5. Step 5: Solve for x
    x = 9,574,231,104/44,524
  6. Step 6: Final answer
    x = 215,035.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.