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Finding the Third Proportional to 35,781 and 52,577.25

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Solution

The third proportional to 35,781 and 52,577.25 is: 77,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781 : 52,577.25 = 52,577.25 : x
  2. Step 2: Convert to fraction form
    35,781/52,577.25 = 52,577.25/x
  3. Step 3: Cross multiply
    35,781x = 52,577.25 × 52,577.25
  4. Step 4: Simplify right side
    35,781x = 2,764,367,217.56
  5. Step 5: Solve for x
    x = 2,764,367,217.56/35,781
  6. Step 6: Final answer
    x = 77,257.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.