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Finding the Third Proportional to 25,123.50 and 35,761.50

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Solution

The third proportional to 25,123.50 and 35,761.50 is: 50,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,123.50 : 35,761.50 = 35,761.50 : x
  2. Step 2: Convert to fraction form
    25,123.50/35,761.50 = 35,761.50/x
  3. Step 3: Cross multiply
    25,123.50x = 35,761.50 × 35,761.50
  4. Step 4: Simplify right side
    25,123.50x = 1,278,884,882.25
  5. Step 5: Solve for x
    x = 1,278,884,882.25/25,123.50
  6. Step 6: Final answer
    x = 50,903.93

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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.