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Finding the Third Proportional to 6,563.25 and 10,391.63

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Solution

The third proportional to 6,563.25 and 10,391.63 is: 16,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.25 : 10,391.63 = 10,391.63 : x
  2. Step 2: Convert to fraction form
    6,563.25/10,391.63 = 10,391.63/x
  3. Step 3: Cross multiply
    6,563.25x = 10,391.63 × 10,391.63
  4. Step 4: Simplify right side
    6,563.25x = 107,985,870.14
  5. Step 5: Solve for x
    x = 107,985,870.14/6,563.25
  6. Step 6: Final answer
    x = 16,453.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.