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Finding the Third Proportional to 9,504 and 22,044

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Solution

The third proportional to 9,504 and 22,044 is: 51,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 22,044 = 22,044 : x
  2. Step 2: Convert to fraction form
    9,504/22,044 = 22,044/x
  3. Step 3: Cross multiply
    9,504x = 22,044 × 22,044
  4. Step 4: Simplify right side
    9,504x = 485,937,936
  5. Step 5: Solve for x
    x = 485,937,936/9,504
  6. Step 6: Final answer
    x = 51,129.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.