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Finding the Third Proportional to 37,276 and 56,395

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Solution

The third proportional to 37,276 and 56,395 is: 85,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,276 : 56,395 = 56,395 : x
  2. Step 2: Convert to fraction form
    37,276/56,395 = 56,395/x
  3. Step 3: Cross multiply
    37,276x = 56,395 × 56,395
  4. Step 4: Simplify right side
    37,276x = 3,180,396,025
  5. Step 5: Solve for x
    x = 3,180,396,025/37,276
  6. Step 6: Final answer
    x = 85,320.21

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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.