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Finding the Third Proportional to 23,917.50 and 52,140.75

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Solution

The third proportional to 23,917.50 and 52,140.75 is: 113,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.50 : 52,140.75 = 52,140.75 : x
  2. Step 2: Convert to fraction form
    23,917.50/52,140.75 = 52,140.75/x
  3. Step 3: Cross multiply
    23,917.50x = 52,140.75 × 52,140.75
  4. Step 4: Simplify right side
    23,917.50x = 2,718,657,810.56
  5. Step 5: Solve for x
    x = 2,718,657,810.56/23,917.50
  6. Step 6: Final answer
    x = 113,668.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.