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Finding the Third Proportional to 7,103.53 and 10,655.44

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Solution

The third proportional to 7,103.53 and 10,655.44 is: 15,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.53 : 10,655.44 = 10,655.44 : x
  2. Step 2: Convert to fraction form
    7,103.53/10,655.44 = 10,655.44/x
  3. Step 3: Cross multiply
    7,103.53x = 10,655.44 × 10,655.44
  4. Step 4: Simplify right side
    7,103.53x = 113,538,348.32
  5. Step 5: Solve for x
    x = 113,538,348.32/7,103.53
  6. Step 6: Final answer
    x = 15,983.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.