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Finding the Third Proportional to 9,798.75 and 19,104.75

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Solution

The third proportional to 9,798.75 and 19,104.75 is: 37,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.75 : 19,104.75 = 19,104.75 : x
  2. Step 2: Convert to fraction form
    9,798.75/19,104.75 = 19,104.75/x
  3. Step 3: Cross multiply
    9,798.75x = 19,104.75 × 19,104.75
  4. Step 4: Simplify right side
    9,798.75x = 364,991,472.56
  5. Step 5: Solve for x
    x = 364,991,472.56/9,798.75
  6. Step 6: Final answer
    x = 37,248.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.