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Finding the Third Proportional to 37,272 and 56,168

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Solution

The third proportional to 37,272 and 56,168 is: 84,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,272 : 56,168 = 56,168 : x
  2. Step 2: Convert to fraction form
    37,272/56,168 = 56,168/x
  3. Step 3: Cross multiply
    37,272x = 56,168 × 56,168
  4. Step 4: Simplify right side
    37,272x = 3,154,844,224
  5. Step 5: Solve for x
    x = 3,154,844,224/37,272
  6. Step 6: Final answer
    x = 84,643.81

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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.