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Finding the Third Proportional to 12,113.50 and 16,360.50

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Solution

The third proportional to 12,113.50 and 16,360.50 is: 22,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.50 : 16,360.50 = 16,360.50 : x
  2. Step 2: Convert to fraction form
    12,113.50/16,360.50 = 16,360.50/x
  3. Step 3: Cross multiply
    12,113.50x = 16,360.50 × 16,360.50
  4. Step 4: Simplify right side
    12,113.50x = 267,665,960.25
  5. Step 5: Solve for x
    x = 267,665,960.25/12,113.50
  6. Step 6: Final answer
    x = 22,096.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.