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Finding the Third Proportional to 7,199.93 and 11,270.07

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Solution

The third proportional to 7,199.93 and 11,270.07 is: 17,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.93 : 11,270.07 = 11,270.07 : x
  2. Step 2: Convert to fraction form
    7,199.93/11,270.07 = 11,270.07/x
  3. Step 3: Cross multiply
    7,199.93x = 11,270.07 × 11,270.07
  4. Step 4: Simplify right side
    7,199.93x = 127,014,572.90
  5. Step 5: Solve for x
    x = 127,014,572.90/7,199.93
  6. Step 6: Final answer
    x = 17,641.09

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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.