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Finding the Third Proportional to 4,770.14 and 7,291.27

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Solution

The third proportional to 4,770.14 and 7,291.27 is: 11,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.14 : 7,291.27 = 7,291.27 : x
  2. Step 2: Convert to fraction form
    4,770.14/7,291.27 = 7,291.27/x
  3. Step 3: Cross multiply
    4,770.14x = 7,291.27 × 7,291.27
  4. Step 4: Simplify right side
    4,770.14x = 53,162,554.41
  5. Step 5: Solve for x
    x = 53,162,554.41/4,770.14
  6. Step 6: Final answer
    x = 11,144.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.