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Finding the Third Proportional to 37,556 and 70,381

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Solution

The third proportional to 37,556 and 70,381 is: 131,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,556 : 70,381 = 70,381 : x
  2. Step 2: Convert to fraction form
    37,556/70,381 = 70,381/x
  3. Step 3: Cross multiply
    37,556x = 70,381 × 70,381
  4. Step 4: Simplify right side
    37,556x = 4,953,485,161
  5. Step 5: Solve for x
    x = 4,953,485,161/37,556
  6. Step 6: Final answer
    x = 131,895.97

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.