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Finding the Third Proportional to 40,100 and 63,071

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Solution

The third proportional to 40,100 and 63,071 is: 99,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,100 : 63,071 = 63,071 : x
  2. Step 2: Convert to fraction form
    40,100/63,071 = 63,071/x
  3. Step 3: Cross multiply
    40,100x = 63,071 × 63,071
  4. Step 4: Simplify right side
    40,100x = 3,977,951,041
  5. Step 5: Solve for x
    x = 3,977,951,041/40,100
  6. Step 6: Final answer
    x = 99,200.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.