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Finding the Third Proportional to 25,974 and 37,989

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Solution

The third proportional to 25,974 and 37,989 is: 55,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974 : 37,989 = 37,989 : x
  2. Step 2: Convert to fraction form
    25,974/37,989 = 37,989/x
  3. Step 3: Cross multiply
    25,974x = 37,989 × 37,989
  4. Step 4: Simplify right side
    25,974x = 1,443,164,121
  5. Step 5: Solve for x
    x = 1,443,164,121/25,974
  6. Step 6: Final answer
    x = 55,561.87

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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.