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Finding the Third Proportional to 7,102.69 and 11,142.14

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Solution

The third proportional to 7,102.69 and 11,142.14 is: 17,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.69 : 11,142.14 = 11,142.14 : x
  2. Step 2: Convert to fraction form
    7,102.69/11,142.14 = 11,142.14/x
  3. Step 3: Cross multiply
    7,102.69x = 11,142.14 × 11,142.14
  4. Step 4: Simplify right side
    7,102.69x = 124,147,297.71
  5. Step 5: Solve for x
    x = 124,147,297.71/7,102.69
  6. Step 6: Final answer
    x = 17,478.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.