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Finding the Third Proportional to 9,960.47 and 13,534.59

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Solution

The third proportional to 9,960.47 and 13,534.59 is: 18,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.47 : 13,534.59 = 13,534.59 : x
  2. Step 2: Convert to fraction form
    9,960.47/13,534.59 = 13,534.59/x
  3. Step 3: Cross multiply
    9,960.47x = 13,534.59 × 13,534.59
  4. Step 4: Simplify right side
    9,960.47x = 183,185,227.98
  5. Step 5: Solve for x
    x = 183,185,227.98/9,960.47
  6. Step 6: Final answer
    x = 18,391.23

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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.