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Finding the Third Proportional to 38,034 and 55,899

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Solution

The third proportional to 38,034 and 55,899 is: 82,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 55,899 = 55,899 : x
  2. Step 2: Convert to fraction form
    38,034/55,899 = 55,899/x
  3. Step 3: Cross multiply
    38,034x = 55,899 × 55,899
  4. Step 4: Simplify right side
    38,034x = 3,124,698,201
  5. Step 5: Solve for x
    x = 3,124,698,201/38,034
  6. Step 6: Final answer
    x = 82,155.39

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Why These Related Problems?

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