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Finding the Third Proportional to 35,031 and 48,171

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Solution

The third proportional to 35,031 and 48,171 is: 66,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031 : 48,171 = 48,171 : x
  2. Step 2: Convert to fraction form
    35,031/48,171 = 48,171/x
  3. Step 3: Cross multiply
    35,031x = 48,171 × 48,171
  4. Step 4: Simplify right side
    35,031x = 2,320,445,241
  5. Step 5: Solve for x
    x = 2,320,445,241/35,031
  6. Step 6: Final answer
    x = 66,239.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.