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Finding the Third Proportional to 37,152 and 56,439

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Solution

The third proportional to 37,152 and 56,439 is: 85,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,152 : 56,439 = 56,439 : x
  2. Step 2: Convert to fraction form
    37,152/56,439 = 56,439/x
  3. Step 3: Cross multiply
    37,152x = 56,439 × 56,439
  4. Step 4: Simplify right side
    37,152x = 3,185,360,721
  5. Step 5: Solve for x
    x = 3,185,360,721/37,152
  6. Step 6: Final answer
    x = 85,738.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.