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Finding the Third Proportional to 4,496.81 and 6,807.94

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Solution

The third proportional to 4,496.81 and 6,807.94 is: 10,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.81 : 6,807.94 = 6,807.94 : x
  2. Step 2: Convert to fraction form
    4,496.81/6,807.94 = 6,807.94/x
  3. Step 3: Cross multiply
    4,496.81x = 6,807.94 × 6,807.94
  4. Step 4: Simplify right side
    4,496.81x = 46,348,013.00
  5. Step 5: Solve for x
    x = 46,348,013.00/4,496.81
  6. Step 6: Final answer
    x = 10,306.86

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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.