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Finding the Third Proportional to 3,974.63 and 8,632.13

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Solution

The third proportional to 3,974.63 and 8,632.13 is: 18,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.63 : 8,632.13 = 8,632.13 : x
  2. Step 2: Convert to fraction form
    3,974.63/8,632.13 = 8,632.13/x
  3. Step 3: Cross multiply
    3,974.63x = 8,632.13 × 8,632.13
  4. Step 4: Simplify right side
    3,974.63x = 74,513,582.02
  5. Step 5: Solve for x
    x = 74,513,582.02/3,974.63
  6. Step 6: Final answer
    x = 18,747.32

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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.