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Finding the Third Proportional to 12,099 and 16,420.50

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Solution

The third proportional to 12,099 and 16,420.50 is: 22,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099 : 16,420.50 = 16,420.50 : x
  2. Step 2: Convert to fraction form
    12,099/16,420.50 = 16,420.50/x
  3. Step 3: Cross multiply
    12,099x = 16,420.50 × 16,420.50
  4. Step 4: Simplify right side
    12,099x = 269,632,820.25
  5. Step 5: Solve for x
    x = 269,632,820.25/12,099
  6. Step 6: Final answer
    x = 22,285.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.