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Finding the Third Proportional to 9,882 and 22,851

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Solution

The third proportional to 9,882 and 22,851 is: 52,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 22,851 = 22,851 : x
  2. Step 2: Convert to fraction form
    9,882/22,851 = 22,851/x
  3. Step 3: Cross multiply
    9,882x = 22,851 × 22,851
  4. Step 4: Simplify right side
    9,882x = 522,168,201
  5. Step 5: Solve for x
    x = 522,168,201/9,882
  6. Step 6: Final answer
    x = 52,840.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.