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Finding the Third Proportional to 6,345.84 and 9,040.36

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Solution

The third proportional to 6,345.84 and 9,040.36 is: 12,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.84 : 9,040.36 = 9,040.36 : x
  2. Step 2: Convert to fraction form
    6,345.84/9,040.36 = 9,040.36/x
  3. Step 3: Cross multiply
    6,345.84x = 9,040.36 × 9,040.36
  4. Step 4: Simplify right side
    6,345.84x = 81,728,097.63
  5. Step 5: Solve for x
    x = 81,728,097.63/6,345.84
  6. Step 6: Final answer
    x = 12,879.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.