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Finding the Third Proportional to 47,002 and 97,877

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Solution

The third proportional to 47,002 and 97,877 is: 203,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,002 : 97,877 = 97,877 : x
  2. Step 2: Convert to fraction form
    47,002/97,877 = 97,877/x
  3. Step 3: Cross multiply
    47,002x = 97,877 × 97,877
  4. Step 4: Simplify right side
    47,002x = 9,579,907,129
  5. Step 5: Solve for x
    x = 9,579,907,129/47,002
  6. Step 6: Final answer
    x = 203,819.14

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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.