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Finding the Third Proportional to 12,478.50 and 20,094.75

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Solution

The third proportional to 12,478.50 and 20,094.75 is: 32,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.50 : 20,094.75 = 20,094.75 : x
  2. Step 2: Convert to fraction form
    12,478.50/20,094.75 = 20,094.75/x
  3. Step 3: Cross multiply
    12,478.50x = 20,094.75 × 20,094.75
  4. Step 4: Simplify right side
    12,478.50x = 403,798,977.56
  5. Step 5: Solve for x
    x = 403,798,977.56/12,478.50
  6. Step 6: Final answer
    x = 32,359.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.