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Finding the Third Proportional to 38,286 and 56,334

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Solution

The third proportional to 38,286 and 56,334 is: 82,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 56,334 = 56,334 : x
  2. Step 2: Convert to fraction form
    38,286/56,334 = 56,334/x
  3. Step 3: Cross multiply
    38,286x = 56,334 × 56,334
  4. Step 4: Simplify right side
    38,286x = 3,173,519,556
  5. Step 5: Solve for x
    x = 3,173,519,556/38,286
  6. Step 6: Final answer
    x = 82,889.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.