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Finding the Third Proportional to 9,504 and 20,759.63

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Solution

The third proportional to 9,504 and 20,759.63 is: 45,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 20,759.63 = 20,759.63 : x
  2. Step 2: Convert to fraction form
    9,504/20,759.63 = 20,759.63/x
  3. Step 3: Cross multiply
    9,504x = 20,759.63 × 20,759.63
  4. Step 4: Simplify right side
    9,504x = 430,962,030.14
  5. Step 5: Solve for x
    x = 430,962,030.14/9,504
  6. Step 6: Final answer
    x = 45,345.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.