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Finding the Third Proportional to 47,010 and 97,884

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Solution

The third proportional to 47,010 and 97,884 is: 203,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,010 : 97,884 = 97,884 : x
  2. Step 2: Convert to fraction form
    47,010/97,884 = 97,884/x
  3. Step 3: Cross multiply
    47,010x = 97,884 × 97,884
  4. Step 4: Simplify right side
    47,010x = 9,581,277,456
  5. Step 5: Solve for x
    x = 9,581,277,456/47,010
  6. Step 6: Final answer
    x = 203,813.60

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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.