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Finding the Third Proportional to 37,001 and 56,937

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Solution

The third proportional to 37,001 and 56,937 is: 87,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,001 : 56,937 = 56,937 : x
  2. Step 2: Convert to fraction form
    37,001/56,937 = 56,937/x
  3. Step 3: Cross multiply
    37,001x = 56,937 × 56,937
  4. Step 4: Simplify right side
    37,001x = 3,241,821,969
  5. Step 5: Solve for x
    x = 3,241,821,969/37,001
  6. Step 6: Final answer
    x = 87,614.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.