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Finding the Third Proportional to 38,258 and 56,739

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Solution

The third proportional to 38,258 and 56,739 is: 84,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,258 : 56,739 = 56,739 : x
  2. Step 2: Convert to fraction form
    38,258/56,739 = 56,739/x
  3. Step 3: Cross multiply
    38,258x = 56,739 × 56,739
  4. Step 4: Simplify right side
    38,258x = 3,219,314,121
  5. Step 5: Solve for x
    x = 3,219,314,121/38,258
  6. Step 6: Final answer
    x = 84,147.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.