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Finding the Third Proportional to 9,780.75 and 18,549

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Solution

The third proportional to 9,780.75 and 18,549 is: 35,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 18,549 = 18,549 : x
  2. Step 2: Convert to fraction form
    9,780.75/18,549 = 18,549/x
  3. Step 3: Cross multiply
    9,780.75x = 18,549 × 18,549
  4. Step 4: Simplify right side
    9,780.75x = 344,065,401
  5. Step 5: Solve for x
    x = 344,065,401/9,780.75
  6. Step 6: Final answer
    x = 35,177.81

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.