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Finding the Third Proportional to 4,770 and 11,065

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Solution

The third proportional to 4,770 and 11,065 is: 25,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 11,065 = 11,065 : x
  2. Step 2: Convert to fraction form
    4,770/11,065 = 11,065/x
  3. Step 3: Cross multiply
    4,770x = 11,065 × 11,065
  4. Step 4: Simplify right side
    4,770x = 122,434,225
  5. Step 5: Solve for x
    x = 122,434,225/4,770
  6. Step 6: Final answer
    x = 25,667.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.