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Finding the Third Proportional to 9,582 and 21,012

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Solution

The third proportional to 9,582 and 21,012 is: 46,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 21,012 = 21,012 : x
  2. Step 2: Convert to fraction form
    9,582/21,012 = 21,012/x
  3. Step 3: Cross multiply
    9,582x = 21,012 × 21,012
  4. Step 4: Simplify right side
    9,582x = 441,504,144
  5. Step 5: Solve for x
    x = 441,504,144/9,582
  6. Step 6: Final answer
    x = 46,076.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.