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Finding the Third Proportional to 38,318 and 56,018

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Solution

The third proportional to 38,318 and 56,018 is: 81,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,318 : 56,018 = 56,018 : x
  2. Step 2: Convert to fraction form
    38,318/56,018 = 56,018/x
  3. Step 3: Cross multiply
    38,318x = 56,018 × 56,018
  4. Step 4: Simplify right side
    38,318x = 3,138,016,324
  5. Step 5: Solve for x
    x = 3,138,016,324/38,318
  6. Step 6: Final answer
    x = 81,894.05

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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.