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Finding the Third Proportional to 25,672.50 and 37,619.25

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Solution

The third proportional to 25,672.50 and 37,619.25 is: 55,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.50 : 37,619.25 = 37,619.25 : x
  2. Step 2: Convert to fraction form
    25,672.50/37,619.25 = 37,619.25/x
  3. Step 3: Cross multiply
    25,672.50x = 37,619.25 × 37,619.25
  4. Step 4: Simplify right side
    25,672.50x = 1,415,207,970.56
  5. Step 5: Solve for x
    x = 1,415,207,970.56/25,672.50
  6. Step 6: Final answer
    x = 55,125.44

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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.