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Finding the Third Proportional to 9,819 and 14,820.75

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Solution

The third proportional to 9,819 and 14,820.75 is: 22,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 14,820.75 = 14,820.75 : x
  2. Step 2: Convert to fraction form
    9,819/14,820.75 = 14,820.75/x
  3. Step 3: Cross multiply
    9,819x = 14,820.75 × 14,820.75
  4. Step 4: Simplify right side
    9,819x = 219,654,630.56
  5. Step 5: Solve for x
    x = 219,654,630.56/9,819
  6. Step 6: Final answer
    x = 22,370.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.