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Finding the Third Proportional to 23,835.75 and 35,014.50

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Solution

The third proportional to 23,835.75 and 35,014.50 is: 51,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.75 : 35,014.50 = 35,014.50 : x
  2. Step 2: Convert to fraction form
    23,835.75/35,014.50 = 35,014.50/x
  3. Step 3: Cross multiply
    23,835.75x = 35,014.50 × 35,014.50
  4. Step 4: Simplify right side
    23,835.75x = 1,226,015,210.25
  5. Step 5: Solve for x
    x = 1,226,015,210.25/23,835.75
  6. Step 6: Final answer
    x = 51,435.98

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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.