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Finding the Third Proportional to 25,972 and 37,012

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Solution

The third proportional to 25,972 and 37,012 is: 52,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972 : 37,012 = 37,012 : x
  2. Step 2: Convert to fraction form
    25,972/37,012 = 37,012/x
  3. Step 3: Cross multiply
    25,972x = 37,012 × 37,012
  4. Step 4: Simplify right side
    25,972x = 1,369,888,144
  5. Step 5: Solve for x
    x = 1,369,888,144/25,972
  6. Step 6: Final answer
    x = 52,744.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.