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Finding the Third Proportional to 8,025 and 12,293.50

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Solution

The third proportional to 8,025 and 12,293.50 is: 18,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025 : 12,293.50 = 12,293.50 : x
  2. Step 2: Convert to fraction form
    8,025/12,293.50 = 12,293.50/x
  3. Step 3: Cross multiply
    8,025x = 12,293.50 × 12,293.50
  4. Step 4: Simplify right side
    8,025x = 151,130,142.25
  5. Step 5: Solve for x
    x = 151,130,142.25/8,025
  6. Step 6: Final answer
    x = 18,832.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.