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Finding the Third Proportional to 7,196.13 and 15,485.77

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Solution

The third proportional to 7,196.13 and 15,485.77 is: 33,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.13 : 15,485.77 = 15,485.77 : x
  2. Step 2: Convert to fraction form
    7,196.13/15,485.77 = 15,485.77/x
  3. Step 3: Cross multiply
    7,196.13x = 15,485.77 × 15,485.77
  4. Step 4: Simplify right side
    7,196.13x = 239,808,936.99
  5. Step 5: Solve for x
    x = 239,808,936.99/7,196.13
  6. Step 6: Final answer
    x = 33,324.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.