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Finding the Third Proportional to 9,072.63 and 21,829.42

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Solution

The third proportional to 9,072.63 and 21,829.42 is: 52,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.63 : 21,829.42 = 21,829.42 : x
  2. Step 2: Convert to fraction form
    9,072.63/21,829.42 = 21,829.42/x
  3. Step 3: Cross multiply
    9,072.63x = 21,829.42 × 21,829.42
  4. Step 4: Simplify right side
    9,072.63x = 476,523,616.76
  5. Step 5: Solve for x
    x = 476,523,616.76/9,072.63
  6. Step 6: Final answer
    x = 52,523.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.