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Finding the Third Proportional to 6,352.75 and 13,935.50

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Solution

The third proportional to 6,352.75 and 13,935.50 is: 30,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.75 : 13,935.50 = 13,935.50 : x
  2. Step 2: Convert to fraction form
    6,352.75/13,935.50 = 13,935.50/x
  3. Step 3: Cross multiply
    6,352.75x = 13,935.50 × 13,935.50
  4. Step 4: Simplify right side
    6,352.75x = 194,198,160.25
  5. Step 5: Solve for x
    x = 194,198,160.25/6,352.75
  6. Step 6: Final answer
    x = 30,569.15

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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.