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Finding the Third Proportional to 36,427 and 56,257

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Solution

The third proportional to 36,427 and 56,257 is: 86,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,427 : 56,257 = 56,257 : x
  2. Step 2: Convert to fraction form
    36,427/56,257 = 56,257/x
  3. Step 3: Cross multiply
    36,427x = 56,257 × 56,257
  4. Step 4: Simplify right side
    36,427x = 3,164,850,049
  5. Step 5: Solve for x
    x = 3,164,850,049/36,427
  6. Step 6: Final answer
    x = 86,881.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.