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Finding the Third Proportional to 35,840 and 50,129

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Solution

The third proportional to 35,840 and 50,129 is: 70,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840 : 50,129 = 50,129 : x
  2. Step 2: Convert to fraction form
    35,840/50,129 = 50,129/x
  3. Step 3: Cross multiply
    35,840x = 50,129 × 50,129
  4. Step 4: Simplify right side
    35,840x = 2,512,916,641
  5. Step 5: Solve for x
    x = 2,512,916,641/35,840
  6. Step 6: Final answer
    x = 70,114.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.