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Finding the Third Proportional to 37,031 and 57,355

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Solution

The third proportional to 37,031 and 57,355 is: 88,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,031 : 57,355 = 57,355 : x
  2. Step 2: Convert to fraction form
    37,031/57,355 = 57,355/x
  3. Step 3: Cross multiply
    37,031x = 57,355 × 57,355
  4. Step 4: Simplify right side
    37,031x = 3,289,596,025
  5. Step 5: Solve for x
    x = 3,289,596,025/37,031
  6. Step 6: Final answer
    x = 88,833.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.