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Finding the Third Proportional to 24,106.50 and 51,699.38

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Solution

The third proportional to 24,106.50 and 51,699.38 is: 110,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106.50 : 51,699.38 = 51,699.38 : x
  2. Step 2: Convert to fraction form
    24,106.50/51,699.38 = 51,699.38/x
  3. Step 3: Cross multiply
    24,106.50x = 51,699.38 × 51,699.38
  4. Step 4: Simplify right side
    24,106.50x = 2,672,825,375.39
  5. Step 5: Solve for x
    x = 2,672,825,375.39/24,106.50
  6. Step 6: Final answer
    x = 110,875.71

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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.