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Finding the Third Proportional to 23,828.50 and 35,337.50

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Solution

The third proportional to 23,828.50 and 35,337.50 is: 52,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.50 : 35,337.50 = 35,337.50 : x
  2. Step 2: Convert to fraction form
    23,828.50/35,337.50 = 35,337.50/x
  3. Step 3: Cross multiply
    23,828.50x = 35,337.50 × 35,337.50
  4. Step 4: Simplify right side
    23,828.50x = 1,248,738,906.25
  5. Step 5: Solve for x
    x = 1,248,738,906.25/23,828.50
  6. Step 6: Final answer
    x = 52,405.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.