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Finding the Third Proportional to 23,314 and 50,352.50

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Solution

The third proportional to 23,314 and 50,352.50 is: 108,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314 : 50,352.50 = 50,352.50 : x
  2. Step 2: Convert to fraction form
    23,314/50,352.50 = 50,352.50/x
  3. Step 3: Cross multiply
    23,314x = 50,352.50 × 50,352.50
  4. Step 4: Simplify right side
    23,314x = 2,535,374,256.25
  5. Step 5: Solve for x
    x = 2,535,374,256.25/23,314
  6. Step 6: Final answer
    x = 108,749.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.