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Finding the Third Proportional to 12,560.50 and 17,105

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Solution

The third proportional to 12,560.50 and 17,105 is: 23,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.50 : 17,105 = 17,105 : x
  2. Step 2: Convert to fraction form
    12,560.50/17,105 = 17,105/x
  3. Step 3: Cross multiply
    12,560.50x = 17,105 × 17,105
  4. Step 4: Simplify right side
    12,560.50x = 292,581,025
  5. Step 5: Solve for x
    x = 292,581,025/12,560.50
  6. Step 6: Final answer
    x = 23,293.74

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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.