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Finding the Third Proportional to 4,969 and 10,343

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Solution

The third proportional to 4,969 and 10,343 is: 21,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969 : 10,343 = 10,343 : x
  2. Step 2: Convert to fraction form
    4,969/10,343 = 10,343/x
  3. Step 3: Cross multiply
    4,969x = 10,343 × 10,343
  4. Step 4: Simplify right side
    4,969x = 106,977,649
  5. Step 5: Solve for x
    x = 106,977,649/4,969
  6. Step 6: Final answer
    x = 21,529.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.