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Finding the Third Proportional to 38,289 and 56,100

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Solution

The third proportional to 38,289 and 56,100 is: 82,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289 : 56,100 = 56,100 : x
  2. Step 2: Convert to fraction form
    38,289/56,100 = 56,100/x
  3. Step 3: Cross multiply
    38,289x = 56,100 × 56,100
  4. Step 4: Simplify right side
    38,289x = 3,147,210,000
  5. Step 5: Solve for x
    x = 3,147,210,000/38,289
  6. Step 6: Final answer
    x = 82,196.19

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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.