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Finding the Third Proportional to 25,161.75 and 37,013.63

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Solution

The third proportional to 25,161.75 and 37,013.63 is: 54,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,161.75 : 37,013.63 = 37,013.63 : x
  2. Step 2: Convert to fraction form
    25,161.75/37,013.63 = 37,013.63/x
  3. Step 3: Cross multiply
    25,161.75x = 37,013.63 × 37,013.63
  4. Step 4: Simplify right side
    25,161.75x = 1,370,008,435.64
  5. Step 5: Solve for x
    x = 1,370,008,435.64/25,161.75
  6. Step 6: Final answer
    x = 54,448.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.