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Finding the Third Proportional to 6,819.19 and 10,289.53

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Solution

The third proportional to 6,819.19 and 10,289.53 is: 15,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.19 : 10,289.53 = 10,289.53 : x
  2. Step 2: Convert to fraction form
    6,819.19/10,289.53 = 10,289.53/x
  3. Step 3: Cross multiply
    6,819.19x = 10,289.53 × 10,289.53
  4. Step 4: Simplify right side
    6,819.19x = 105,874,453.34
  5. Step 5: Solve for x
    x = 105,874,453.34/6,819.19
  6. Step 6: Final answer
    x = 15,525.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.