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Finding the Third Proportional to 3,798.14 and 5,594.06

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Solution

The third proportional to 3,798.14 and 5,594.06 is: 8,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.14 : 5,594.06 = 5,594.06 : x
  2. Step 2: Convert to fraction form
    3,798.14/5,594.06 = 5,594.06/x
  3. Step 3: Cross multiply
    3,798.14x = 5,594.06 × 5,594.06
  4. Step 4: Simplify right side
    3,798.14x = 31,293,535.25
  5. Step 5: Solve for x
    x = 31,293,535.25/3,798.14
  6. Step 6: Final answer
    x = 8,239.17

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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.