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Finding the Third Proportional to 21,064 and 46,799

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Solution

The third proportional to 21,064 and 46,799 is: 103,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064 : 46,799 = 46,799 : x
  2. Step 2: Convert to fraction form
    21,064/46,799 = 46,799/x
  3. Step 3: Cross multiply
    21,064x = 46,799 × 46,799
  4. Step 4: Simplify right side
    21,064x = 2,190,146,401
  5. Step 5: Solve for x
    x = 2,190,146,401/21,064
  6. Step 6: Final answer
    x = 103,975.81

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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.