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Finding the Third Proportional to 5,673.66 and 8,328.09

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Solution

The third proportional to 5,673.66 and 8,328.09 is: 12,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.66 : 8,328.09 = 8,328.09 : x
  2. Step 2: Convert to fraction form
    5,673.66/8,328.09 = 8,328.09/x
  3. Step 3: Cross multiply
    5,673.66x = 8,328.09 × 8,328.09
  4. Step 4: Simplify right side
    5,673.66x = 69,357,145.51
  5. Step 5: Solve for x
    x = 69,357,145.51/5,673.66
  6. Step 6: Final answer
    x = 12,224.42

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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.