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Finding the Third Proportional to 23,856.75 and 35,050.50

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Solution

The third proportional to 23,856.75 and 35,050.50 is: 51,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.75 : 35,050.50 = 35,050.50 : x
  2. Step 2: Convert to fraction form
    23,856.75/35,050.50 = 35,050.50/x
  3. Step 3: Cross multiply
    23,856.75x = 35,050.50 × 35,050.50
  4. Step 4: Simplify right side
    23,856.75x = 1,228,537,550.25
  5. Step 5: Solve for x
    x = 1,228,537,550.25/23,856.75
  6. Step 6: Final answer
    x = 51,496.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.