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Finding the Third Proportional to 21,769 and 48,395

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Solution

The third proportional to 21,769 and 48,395 is: 107,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769 : 48,395 = 48,395 : x
  2. Step 2: Convert to fraction form
    21,769/48,395 = 48,395/x
  3. Step 3: Cross multiply
    21,769x = 48,395 × 48,395
  4. Step 4: Simplify right side
    21,769x = 2,342,076,025
  5. Step 5: Solve for x
    x = 2,342,076,025/21,769
  6. Step 6: Final answer
    x = 107,587.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.