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Finding the Third Proportional to 24,314.63 and 51,997.50

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Solution

The third proportional to 24,314.63 and 51,997.50 is: 111,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.63 : 51,997.50 = 51,997.50 : x
  2. Step 2: Convert to fraction form
    24,314.63/51,997.50 = 51,997.50/x
  3. Step 3: Cross multiply
    24,314.63x = 51,997.50 × 51,997.50
  4. Step 4: Simplify right side
    24,314.63x = 2,703,740,006.25
  5. Step 5: Solve for x
    x = 2,703,740,006.25/24,314.63
  6. Step 6: Final answer
    x = 111,198.10

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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.