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Finding the Third Proportional to 9,268.17 and 15,593.77

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Solution

The third proportional to 9,268.17 and 15,593.77 is: 26,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.17 : 15,593.77 = 15,593.77 : x
  2. Step 2: Convert to fraction form
    9,268.17/15,593.77 = 15,593.77/x
  3. Step 3: Cross multiply
    9,268.17x = 15,593.77 × 15,593.77
  4. Step 4: Simplify right side
    9,268.17x = 243,165,526.37
  5. Step 5: Solve for x
    x = 243,165,526.37/9,268.17
  6. Step 6: Final answer
    x = 26,236.62

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.