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Finding the Third Proportional to 7,127.44 and 11,037.06

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Solution

The third proportional to 7,127.44 and 11,037.06 is: 17,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.44 : 11,037.06 = 11,037.06 : x
  2. Step 2: Convert to fraction form
    7,127.44/11,037.06 = 11,037.06/x
  3. Step 3: Cross multiply
    7,127.44x = 11,037.06 × 11,037.06
  4. Step 4: Simplify right side
    7,127.44x = 121,816,748.63
  5. Step 5: Solve for x
    x = 121,816,748.63/7,127.44
  6. Step 6: Final answer
    x = 17,091.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.