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Finding the Third Proportional to 47,035 and 72,051

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Solution

The third proportional to 47,035 and 72,051 is: 110,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,035 : 72,051 = 72,051 : x
  2. Step 2: Convert to fraction form
    47,035/72,051 = 72,051/x
  3. Step 3: Cross multiply
    47,035x = 72,051 × 72,051
  4. Step 4: Simplify right side
    47,035x = 5,191,346,601
  5. Step 5: Solve for x
    x = 5,191,346,601/47,035
  6. Step 6: Final answer
    x = 110,371.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.