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Finding the Third Proportional to 10,197.50 and 22,579

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Solution

The third proportional to 10,197.50 and 22,579 is: 49,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.50 : 22,579 = 22,579 : x
  2. Step 2: Convert to fraction form
    10,197.50/22,579 = 22,579/x
  3. Step 3: Cross multiply
    10,197.50x = 22,579 × 22,579
  4. Step 4: Simplify right side
    10,197.50x = 509,811,241
  5. Step 5: Solve for x
    x = 509,811,241/10,197.50
  6. Step 6: Final answer
    x = 49,993.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.