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Finding the Third Proportional to 9,762 and 21,375

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Solution

The third proportional to 9,762 and 21,375 is: 46,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762 : 21,375 = 21,375 : x
  2. Step 2: Convert to fraction form
    9,762/21,375 = 21,375/x
  3. Step 3: Cross multiply
    9,762x = 21,375 × 21,375
  4. Step 4: Simplify right side
    9,762x = 456,890,625
  5. Step 5: Solve for x
    x = 456,890,625/9,762
  6. Step 6: Final answer
    x = 46,802.97

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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.