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Finding the Third Proportional to 38,297 and 55,159

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Solution

The third proportional to 38,297 and 55,159 is: 79,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297 : 55,159 = 55,159 : x
  2. Step 2: Convert to fraction form
    38,297/55,159 = 55,159/x
  3. Step 3: Cross multiply
    38,297x = 55,159 × 55,159
  4. Step 4: Simplify right side
    38,297x = 3,042,515,281
  5. Step 5: Solve for x
    x = 3,042,515,281/38,297
  6. Step 6: Final answer
    x = 79,445.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.