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Finding the Third Proportional to 53,001 and 76,644

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Solution

The third proportional to 53,001 and 76,644 is: 110,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,001 : 76,644 = 76,644 : x
  2. Step 2: Convert to fraction form
    53,001/76,644 = 76,644/x
  3. Step 3: Cross multiply
    53,001x = 76,644 × 76,644
  4. Step 4: Simplify right side
    53,001x = 5,874,302,736
  5. Step 5: Solve for x
    x = 5,874,302,736/53,001
  6. Step 6: Final answer
    x = 110,833.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.