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Finding the Third Proportional to 38,444 and 56,178

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Solution

The third proportional to 38,444 and 56,178 is: 82,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444 : 56,178 = 56,178 : x
  2. Step 2: Convert to fraction form
    38,444/56,178 = 56,178/x
  3. Step 3: Cross multiply
    38,444x = 56,178 × 56,178
  4. Step 4: Simplify right side
    38,444x = 3,155,967,684
  5. Step 5: Solve for x
    x = 3,155,967,684/38,444
  6. Step 6: Final answer
    x = 82,092.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.