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Finding the Third Proportional to 9,573 and 21,032

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Solution

The third proportional to 9,573 and 21,032 is: 46,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573 : 21,032 = 21,032 : x
  2. Step 2: Convert to fraction form
    9,573/21,032 = 21,032/x
  3. Step 3: Cross multiply
    9,573x = 21,032 × 21,032
  4. Step 4: Simplify right side
    9,573x = 442,345,024
  5. Step 5: Solve for x
    x = 442,345,024/9,573
  6. Step 6: Final answer
    x = 46,207.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.