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Finding the Third Proportional to 8,948.25 and 13,096.13

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Solution

The third proportional to 8,948.25 and 13,096.13 is: 19,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.25 : 13,096.13 = 13,096.13 : x
  2. Step 2: Convert to fraction form
    8,948.25/13,096.13 = 13,096.13/x
  3. Step 3: Cross multiply
    8,948.25x = 13,096.13 × 13,096.13
  4. Step 4: Simplify right side
    8,948.25x = 171,508,490.02
  5. Step 5: Solve for x
    x = 171,508,490.02/8,948.25
  6. Step 6: Final answer
    x = 19,166.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.