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Finding the Third Proportional to 9,773 and 23,621

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Solution

The third proportional to 9,773 and 23,621 is: 57,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773 : 23,621 = 23,621 : x
  2. Step 2: Convert to fraction form
    9,773/23,621 = 23,621/x
  3. Step 3: Cross multiply
    9,773x = 23,621 × 23,621
  4. Step 4: Simplify right side
    9,773x = 557,951,641
  5. Step 5: Solve for x
    x = 557,951,641/9,773
  6. Step 6: Final answer
    x = 57,091.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.