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Finding the Third Proportional to 7,920.84 and 11,073.94

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Solution

The third proportional to 7,920.84 and 11,073.94 is: 15,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.84 : 11,073.94 = 11,073.94 : x
  2. Step 2: Convert to fraction form
    7,920.84/11,073.94 = 11,073.94/x
  3. Step 3: Cross multiply
    7,920.84x = 11,073.94 × 11,073.94
  4. Step 4: Simplify right side
    7,920.84x = 122,632,091.75
  5. Step 5: Solve for x
    x = 122,632,091.75/7,920.84
  6. Step 6: Final answer
    x = 15,482.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.