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Finding the Third Proportional to 37,509.75 and 88,544.25

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Solution

The third proportional to 37,509.75 and 88,544.25 is: 209,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.75 : 88,544.25 = 88,544.25 : x
  2. Step 2: Convert to fraction form
    37,509.75/88,544.25 = 88,544.25/x
  3. Step 3: Cross multiply
    37,509.75x = 88,544.25 × 88,544.25
  4. Step 4: Simplify right side
    37,509.75x = 7,840,084,208.06
  5. Step 5: Solve for x
    x = 7,840,084,208.06/37,509.75
  6. Step 6: Final answer
    x = 209,014.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.