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Finding the Third Proportional to 12,717.75 and 19,715.50

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Solution

The third proportional to 12,717.75 and 19,715.50 is: 30,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.75 : 19,715.50 = 19,715.50 : x
  2. Step 2: Convert to fraction form
    12,717.75/19,715.50 = 19,715.50/x
  3. Step 3: Cross multiply
    12,717.75x = 19,715.50 × 19,715.50
  4. Step 4: Simplify right side
    12,717.75x = 388,700,940.25
  5. Step 5: Solve for x
    x = 388,700,940.25/12,717.75
  6. Step 6: Final answer
    x = 30,563.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.