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Finding the Third Proportional to 23,800.50 and 52,047

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Solution

The third proportional to 23,800.50 and 52,047 is: 113,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.50 : 52,047 = 52,047 : x
  2. Step 2: Convert to fraction form
    23,800.50/52,047 = 52,047/x
  3. Step 3: Cross multiply
    23,800.50x = 52,047 × 52,047
  4. Step 4: Simplify right side
    23,800.50x = 2,708,890,209
  5. Step 5: Solve for x
    x = 2,708,890,209/23,800.50
  6. Step 6: Final answer
    x = 113,816.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.