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Finding the Third Proportional to 6,709.78 and 9,833.34

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Solution

The third proportional to 6,709.78 and 9,833.34 is: 14,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.78 : 9,833.34 = 9,833.34 : x
  2. Step 2: Convert to fraction form
    6,709.78/9,833.34 = 9,833.34/x
  3. Step 3: Cross multiply
    6,709.78x = 9,833.34 × 9,833.34
  4. Step 4: Simplify right side
    6,709.78x = 96,694,649.31
  5. Step 5: Solve for x
    x = 96,694,649.31/6,709.78
  6. Step 6: Final answer
    x = 14,411.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.