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Finding the Third Proportional to 7,728.38 and 16,688.63

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Solution

The third proportional to 7,728.38 and 16,688.63 is: 36,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.38 : 16,688.63 = 16,688.63 : x
  2. Step 2: Convert to fraction form
    7,728.38/16,688.63 = 16,688.63/x
  3. Step 3: Cross multiply
    7,728.38x = 16,688.63 × 16,688.63
  4. Step 4: Simplify right side
    7,728.38x = 278,510,204.39
  5. Step 5: Solve for x
    x = 278,510,204.39/7,728.38
  6. Step 6: Final answer
    x = 36,037.36

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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.