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Finding the Third Proportional to 10,919.25 and 23,396.63

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Solution

The third proportional to 10,919.25 and 23,396.63 is: 50,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.25 : 23,396.63 = 23,396.63 : x
  2. Step 2: Convert to fraction form
    10,919.25/23,396.63 = 23,396.63/x
  3. Step 3: Cross multiply
    10,919.25x = 23,396.63 × 23,396.63
  4. Step 4: Simplify right side
    10,919.25x = 547,402,061.39
  5. Step 5: Solve for x
    x = 547,402,061.39/10,919.25
  6. Step 6: Final answer
    x = 50,131.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.