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Finding the Third Proportional to 23,544.50 and 34,909

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Solution

The third proportional to 23,544.50 and 34,909 is: 51,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544.50 : 34,909 = 34,909 : x
  2. Step 2: Convert to fraction form
    23,544.50/34,909 = 34,909/x
  3. Step 3: Cross multiply
    23,544.50x = 34,909 × 34,909
  4. Step 4: Simplify right side
    23,544.50x = 1,218,638,281
  5. Step 5: Solve for x
    x = 1,218,638,281/23,544.50
  6. Step 6: Final answer
    x = 51,758.94

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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.