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Finding the Third Proportional to 35,503 and 75,742

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Solution

The third proportional to 35,503 and 75,742 is: 161,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,503 : 75,742 = 75,742 : x
  2. Step 2: Convert to fraction form
    35,503/75,742 = 75,742/x
  3. Step 3: Cross multiply
    35,503x = 75,742 × 75,742
  4. Step 4: Simplify right side
    35,503x = 5,736,850,564
  5. Step 5: Solve for x
    x = 5,736,850,564/35,503
  6. Step 6: Final answer
    x = 161,587.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.