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Finding the Third Proportional to 11,350.50 and 13,434

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Solution

The third proportional to 11,350.50 and 13,434 is: 15,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.50 : 13,434 = 13,434 : x
  2. Step 2: Convert to fraction form
    11,350.50/13,434 = 13,434/x
  3. Step 3: Cross multiply
    11,350.50x = 13,434 × 13,434
  4. Step 4: Simplify right side
    11,350.50x = 180,472,356
  5. Step 5: Solve for x
    x = 180,472,356/11,350.50
  6. Step 6: Final answer
    x = 15,899.95

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.