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Finding the Third Proportional to 6,743.63 and 14,825.63

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Solution

The third proportional to 6,743.63 and 14,825.63 is: 32,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.63 : 14,825.63 = 14,825.63 : x
  2. Step 2: Convert to fraction form
    6,743.63/14,825.63 = 14,825.63/x
  3. Step 3: Cross multiply
    6,743.63x = 14,825.63 × 14,825.63
  4. Step 4: Simplify right side
    6,743.63x = 219,799,156.64
  5. Step 5: Solve for x
    x = 219,799,156.64/6,743.63
  6. Step 6: Final answer
    x = 32,593.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.