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Finding the Third Proportional to 23,339.50 and 35,874.50

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Solution

The third proportional to 23,339.50 and 35,874.50 is: 55,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339.50 : 35,874.50 = 35,874.50 : x
  2. Step 2: Convert to fraction form
    23,339.50/35,874.50 = 35,874.50/x
  3. Step 3: Cross multiply
    23,339.50x = 35,874.50 × 35,874.50
  4. Step 4: Simplify right side
    23,339.50x = 1,286,979,750.25
  5. Step 5: Solve for x
    x = 1,286,979,750.25/23,339.50
  6. Step 6: Final answer
    x = 55,141.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.