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Finding the Third Proportional to 7,197.75 and 15,593.63

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Solution

The third proportional to 7,197.75 and 15,593.63 is: 33,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.75 : 15,593.63 = 15,593.63 : x
  2. Step 2: Convert to fraction form
    7,197.75/15,593.63 = 15,593.63/x
  3. Step 3: Cross multiply
    7,197.75x = 15,593.63 × 15,593.63
  4. Step 4: Simplify right side
    7,197.75x = 243,161,140.64
  5. Step 5: Solve for x
    x = 243,161,140.64/7,197.75
  6. Step 6: Final answer
    x = 33,782.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.