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Finding the Third Proportional to 4,266.84 and 9,258.47

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Solution

The third proportional to 4,266.84 and 9,258.47 is: 20,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.84 : 9,258.47 = 9,258.47 : x
  2. Step 2: Convert to fraction form
    4,266.84/9,258.47 = 9,258.47/x
  3. Step 3: Cross multiply
    4,266.84x = 9,258.47 × 9,258.47
  4. Step 4: Simplify right side
    4,266.84x = 85,719,243.59
  5. Step 5: Solve for x
    x = 85,719,243.59/4,266.84
  6. Step 6: Final answer
    x = 20,089.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.