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Finding the Third Proportional to 35,026.50 and 47,193

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Solution

The third proportional to 35,026.50 and 47,193 is: 63,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,026.50 : 47,193 = 47,193 : x
  2. Step 2: Convert to fraction form
    35,026.50/47,193 = 47,193/x
  3. Step 3: Cross multiply
    35,026.50x = 47,193 × 47,193
  4. Step 4: Simplify right side
    35,026.50x = 2,227,179,249
  5. Step 5: Solve for x
    x = 2,227,179,249/35,026.50
  6. Step 6: Final answer
    x = 63,585.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.