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Finding the Third Proportional to 7,268.63 and 15,697.69

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Solution

The third proportional to 7,268.63 and 15,697.69 is: 33,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.63 : 15,697.69 = 15,697.69 : x
  2. Step 2: Convert to fraction form
    7,268.63/15,697.69 = 15,697.69/x
  3. Step 3: Cross multiply
    7,268.63x = 15,697.69 × 15,697.69
  4. Step 4: Simplify right side
    7,268.63x = 246,417,392.85
  5. Step 5: Solve for x
    x = 246,417,392.85/7,268.63
  6. Step 6: Final answer
    x = 33,901.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.