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Finding the Third Proportional to 25,944 and 37,539

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Solution

The third proportional to 25,944 and 37,539 is: 54,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,944 : 37,539 = 37,539 : x
  2. Step 2: Convert to fraction form
    25,944/37,539 = 37,539/x
  3. Step 3: Cross multiply
    25,944x = 37,539 × 37,539
  4. Step 4: Simplify right side
    25,944x = 1,409,176,521
  5. Step 5: Solve for x
    x = 1,409,176,521/25,944
  6. Step 6: Final answer
    x = 54,316.09

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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.