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Finding the Third Proportional to 25,980 and 37,998

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Solution

The third proportional to 25,980 and 37,998 is: 55,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980 : 37,998 = 37,998 : x
  2. Step 2: Convert to fraction form
    25,980/37,998 = 37,998/x
  3. Step 3: Cross multiply
    25,980x = 37,998 × 37,998
  4. Step 4: Simplify right side
    25,980x = 1,443,848,004
  5. Step 5: Solve for x
    x = 1,443,848,004/25,980
  6. Step 6: Final answer
    x = 55,575.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.