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Finding the Third Proportional to 37,264 and 56,380

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Solution

The third proportional to 37,264 and 56,380 is: 85,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264 : 56,380 = 56,380 : x
  2. Step 2: Convert to fraction form
    37,264/56,380 = 56,380/x
  3. Step 3: Cross multiply
    37,264x = 56,380 × 56,380
  4. Step 4: Simplify right side
    37,264x = 3,178,704,400
  5. Step 5: Solve for x
    x = 3,178,704,400/37,264
  6. Step 6: Final answer
    x = 85,302.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.