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Finding the Third Proportional to 4,204.09 and 8,681.55

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Solution

The third proportional to 4,204.09 and 8,681.55 is: 17,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.09 : 8,681.55 = 8,681.55 : x
  2. Step 2: Convert to fraction form
    4,204.09/8,681.55 = 8,681.55/x
  3. Step 3: Cross multiply
    4,204.09x = 8,681.55 × 8,681.55
  4. Step 4: Simplify right side
    4,204.09x = 75,369,391.79
  5. Step 5: Solve for x
    x = 75,369,391.79/4,204.09
  6. Step 6: Final answer
    x = 17,927.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.