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Finding the Third Proportional to 10,293.33 and 13,981.99

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Solution

The third proportional to 10,293.33 and 13,981.99 is: 18,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.33 : 13,981.99 = 13,981.99 : x
  2. Step 2: Convert to fraction form
    10,293.33/13,981.99 = 13,981.99/x
  3. Step 3: Cross multiply
    10,293.33x = 13,981.99 × 13,981.99
  4. Step 4: Simplify right side
    10,293.33x = 195,496,105.53
  5. Step 5: Solve for x
    x = 195,496,105.53/10,293.33
  6. Step 6: Final answer
    x = 18,992.51

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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.