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Finding the Third Proportional to 8,463.94 and 13,098.38

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Solution

The third proportional to 8,463.94 and 13,098.38 is: 20,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.94 : 13,098.38 = 13,098.38 : x
  2. Step 2: Convert to fraction form
    8,463.94/13,098.38 = 13,098.38/x
  3. Step 3: Cross multiply
    8,463.94x = 13,098.38 × 13,098.38
  4. Step 4: Simplify right side
    8,463.94x = 171,567,427.64
  5. Step 5: Solve for x
    x = 171,567,427.64/8,463.94
  6. Step 6: Final answer
    x = 20,270.40

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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.