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Finding the Third Proportional to 9,363 and 13,882.50

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Solution

The third proportional to 9,363 and 13,882.50 is: 20,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363 : 13,882.50 = 13,882.50 : x
  2. Step 2: Convert to fraction form
    9,363/13,882.50 = 13,882.50/x
  3. Step 3: Cross multiply
    9,363x = 13,882.50 × 13,882.50
  4. Step 4: Simplify right side
    9,363x = 192,723,806.25
  5. Step 5: Solve for x
    x = 192,723,806.25/9,363
  6. Step 6: Final answer
    x = 20,583.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.