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Finding the Third Proportional to 39,042 and 53,001

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Solution

The third proportional to 39,042 and 53,001 is: 71,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,042 : 53,001 = 53,001 : x
  2. Step 2: Convert to fraction form
    39,042/53,001 = 53,001/x
  3. Step 3: Cross multiply
    39,042x = 53,001 × 53,001
  4. Step 4: Simplify right side
    39,042x = 2,809,106,001
  5. Step 5: Solve for x
    x = 2,809,106,001/39,042
  6. Step 6: Final answer
    x = 71,950.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.