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Finding the Third Proportional to 6,285.09 and 6,869.81

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Solution

The third proportional to 6,285.09 and 6,869.81 is: 7,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.09 : 6,869.81 = 6,869.81 : x
  2. Step 2: Convert to fraction form
    6,285.09/6,869.81 = 6,869.81/x
  3. Step 3: Cross multiply
    6,285.09x = 6,869.81 × 6,869.81
  4. Step 4: Simplify right side
    6,285.09x = 47,194,323.79
  5. Step 5: Solve for x
    x = 47,194,323.79/6,285.09
  6. Step 6: Final answer
    x = 7,508.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.