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Finding the Third Proportional to 37,264 and 56,377

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Solution

The third proportional to 37,264 and 56,377 is: 85,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264 : 56,377 = 56,377 : x
  2. Step 2: Convert to fraction form
    37,264/56,377 = 56,377/x
  3. Step 3: Cross multiply
    37,264x = 56,377 × 56,377
  4. Step 4: Simplify right side
    37,264x = 3,178,366,129
  5. Step 5: Solve for x
    x = 3,178,366,129/37,264
  6. Step 6: Final answer
    x = 85,293.21

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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.