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Finding the Third Proportional to 6,819.19 and 9,783.28

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Solution

The third proportional to 6,819.19 and 9,783.28 is: 14,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.19 : 9,783.28 = 9,783.28 : x
  2. Step 2: Convert to fraction form
    6,819.19/9,783.28 = 9,783.28/x
  3. Step 3: Cross multiply
    6,819.19x = 9,783.28 × 9,783.28
  4. Step 4: Simplify right side
    6,819.19x = 95,712,592.02
  5. Step 5: Solve for x
    x = 95,712,592.02/6,819.19
  6. Step 6: Final answer
    x = 14,035.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.