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Finding the Third Proportional to 7,241.06 and 11,124.84

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Solution

The third proportional to 7,241.06 and 11,124.84 is: 17,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.06 : 11,124.84 = 11,124.84 : x
  2. Step 2: Convert to fraction form
    7,241.06/11,124.84 = 11,124.84/x
  3. Step 3: Cross multiply
    7,241.06x = 11,124.84 × 11,124.84
  4. Step 4: Simplify right side
    7,241.06x = 123,762,148.46
  5. Step 5: Solve for x
    x = 123,762,148.46/7,241.06
  6. Step 6: Final answer
    x = 17,091.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.