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Finding the Third Proportional to 7,185.94 and 11,037.38

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Solution

The third proportional to 7,185.94 and 11,037.38 is: 16,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.94 : 11,037.38 = 11,037.38 : x
  2. Step 2: Convert to fraction form
    7,185.94/11,037.38 = 11,037.38/x
  3. Step 3: Cross multiply
    7,185.94x = 11,037.38 × 11,037.38
  4. Step 4: Simplify right side
    7,185.94x = 121,823,646.89
  5. Step 5: Solve for x
    x = 121,823,646.89/7,185.94
  6. Step 6: Final answer
    x = 16,953.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.