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Finding the Third Proportional to 24,649.31 and 35,123.63

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Solution

The third proportional to 24,649.31 and 35,123.63 is: 50,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.31 : 35,123.63 = 35,123.63 : x
  2. Step 2: Convert to fraction form
    24,649.31/35,123.63 = 35,123.63/x
  3. Step 3: Cross multiply
    24,649.31x = 35,123.63 × 35,123.63
  4. Step 4: Simplify right side
    24,649.31x = 1,233,669,033.14
  5. Step 5: Solve for x
    x = 1,233,669,033.14/24,649.31
  6. Step 6: Final answer
    x = 50,048.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.