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Finding the Third Proportional to 13,143.94 and 17,711.16

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Solution

The third proportional to 13,143.94 and 17,711.16 is: 23,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.94 : 17,711.16 = 17,711.16 : x
  2. Step 2: Convert to fraction form
    13,143.94/17,711.16 = 17,711.16/x
  3. Step 3: Cross multiply
    13,143.94x = 17,711.16 × 17,711.16
  4. Step 4: Simplify right side
    13,143.94x = 313,685,055.71
  5. Step 5: Solve for x
    x = 313,685,055.71/13,143.94
  6. Step 6: Final answer
    x = 23,865.38

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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.