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Finding the Third Proportional to 36,042 and 53,919

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Solution

The third proportional to 36,042 and 53,919 is: 80,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042 : 53,919 = 53,919 : x
  2. Step 2: Convert to fraction form
    36,042/53,919 = 53,919/x
  3. Step 3: Cross multiply
    36,042x = 53,919 × 53,919
  4. Step 4: Simplify right side
    36,042x = 2,907,258,561
  5. Step 5: Solve for x
    x = 2,907,258,561/36,042
  6. Step 6: Final answer
    x = 80,663.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.