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Finding the Third Proportional to 2,715 and 6,309.50

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Solution

The third proportional to 2,715 and 6,309.50 is: 14,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715 : 6,309.50 = 6,309.50 : x
  2. Step 2: Convert to fraction form
    2,715/6,309.50 = 6,309.50/x
  3. Step 3: Cross multiply
    2,715x = 6,309.50 × 6,309.50
  4. Step 4: Simplify right side
    2,715x = 39,809,790.25
  5. Step 5: Solve for x
    x = 39,809,790.25/2,715
  6. Step 6: Final answer
    x = 14,662.91

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.