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Finding the Third Proportional to 37,288 and 56,286

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Solution

The third proportional to 37,288 and 56,286 is: 84,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,288 : 56,286 = 56,286 : x
  2. Step 2: Convert to fraction form
    37,288/56,286 = 56,286/x
  3. Step 3: Cross multiply
    37,288x = 56,286 × 56,286
  4. Step 4: Simplify right side
    37,288x = 3,168,113,796
  5. Step 5: Solve for x
    x = 3,168,113,796/37,288
  6. Step 6: Final answer
    x = 84,963.36

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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.