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Finding the Third Proportional to 8,218.13 and 19,527.75

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Solution

The third proportional to 8,218.13 and 19,527.75 is: 46,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.13 : 19,527.75 = 19,527.75 : x
  2. Step 2: Convert to fraction form
    8,218.13/19,527.75 = 19,527.75/x
  3. Step 3: Cross multiply
    8,218.13x = 19,527.75 × 19,527.75
  4. Step 4: Simplify right side
    8,218.13x = 381,333,020.06
  5. Step 5: Solve for x
    x = 381,333,020.06/8,218.13
  6. Step 6: Final answer
    x = 46,401.46

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.