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Finding the Third Proportional to 25,149 and 37,979.75

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Solution

The third proportional to 25,149 and 37,979.75 is: 57,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149 : 37,979.75 = 37,979.75 : x
  2. Step 2: Convert to fraction form
    25,149/37,979.75 = 37,979.75/x
  3. Step 3: Cross multiply
    25,149x = 37,979.75 × 37,979.75
  4. Step 4: Simplify right side
    25,149x = 1,442,461,410.06
  5. Step 5: Solve for x
    x = 1,442,461,410.06/25,149
  6. Step 6: Final answer
    x = 57,356.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.