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Finding the Third Proportional to 47,024 and 97,920

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Solution

The third proportional to 47,024 and 97,920 is: 203,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,024 : 97,920 = 97,920 : x
  2. Step 2: Convert to fraction form
    47,024/97,920 = 97,920/x
  3. Step 3: Cross multiply
    47,024x = 97,920 × 97,920
  4. Step 4: Simplify right side
    47,024x = 9,588,326,400
  5. Step 5: Solve for x
    x = 9,588,326,400/47,024
  6. Step 6: Final answer
    x = 203,902.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.