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Finding the Third Proportional to 24,059.50 and 57,961.50

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Solution

The third proportional to 24,059.50 and 57,961.50 is: 139,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059.50 : 57,961.50 = 57,961.50 : x
  2. Step 2: Convert to fraction form
    24,059.50/57,961.50 = 57,961.50/x
  3. Step 3: Cross multiply
    24,059.50x = 57,961.50 × 57,961.50
  4. Step 4: Simplify right side
    24,059.50x = 3,359,535,482.25
  5. Step 5: Solve for x
    x = 3,359,535,482.25/24,059.50
  6. Step 6: Final answer
    x = 139,634.47

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.