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Finding the Third Proportional to 8,627.25 and 18,483.75

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Solution

The third proportional to 8,627.25 and 18,483.75 is: 39,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.25 : 18,483.75 = 18,483.75 : x
  2. Step 2: Convert to fraction form
    8,627.25/18,483.75 = 18,483.75/x
  3. Step 3: Cross multiply
    8,627.25x = 18,483.75 × 18,483.75
  4. Step 4: Simplify right side
    8,627.25x = 341,649,014.06
  5. Step 5: Solve for x
    x = 341,649,014.06/8,627.25
  6. Step 6: Final answer
    x = 39,601.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.