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Finding the Third Proportional to 7,309.93 and 11,037.52

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Solution

The third proportional to 7,309.93 and 11,037.52 is: 16,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.93 : 11,037.52 = 11,037.52 : x
  2. Step 2: Convert to fraction form
    7,309.93/11,037.52 = 11,037.52/x
  3. Step 3: Cross multiply
    7,309.93x = 11,037.52 × 11,037.52
  4. Step 4: Simplify right side
    7,309.93x = 121,826,751.17
  5. Step 5: Solve for x
    x = 121,826,751.17/7,309.93
  6. Step 6: Final answer
    x = 16,665.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.