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Finding the Third Proportional to 35,426 and 48,137

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Solution

The third proportional to 35,426 and 48,137 is: 65,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,426 : 48,137 = 48,137 : x
  2. Step 2: Convert to fraction form
    35,426/48,137 = 48,137/x
  3. Step 3: Cross multiply
    35,426x = 48,137 × 48,137
  4. Step 4: Simplify right side
    35,426x = 2,317,170,769
  5. Step 5: Solve for x
    x = 2,317,170,769/35,426
  6. Step 6: Final answer
    x = 65,408.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.