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Finding the Third Proportional to 10,519.88 and 23,019.47

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Solution

The third proportional to 10,519.88 and 23,019.47 is: 50,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.88 : 23,019.47 = 23,019.47 : x
  2. Step 2: Convert to fraction form
    10,519.88/23,019.47 = 23,019.47/x
  3. Step 3: Cross multiply
    10,519.88x = 23,019.47 × 23,019.47
  4. Step 4: Simplify right side
    10,519.88x = 529,895,941.53
  5. Step 5: Solve for x
    x = 529,895,941.53/10,519.88
  6. Step 6: Final answer
    x = 50,370.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.