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Finding the Third Proportional to 21,968 and 48,309

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Solution

The third proportional to 21,968 and 48,309 is: 106,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968 : 48,309 = 48,309 : x
  2. Step 2: Convert to fraction form
    21,968/48,309 = 48,309/x
  3. Step 3: Cross multiply
    21,968x = 48,309 × 48,309
  4. Step 4: Simplify right side
    21,968x = 2,333,759,481
  5. Step 5: Solve for x
    x = 2,333,759,481/21,968
  6. Step 6: Final answer
    x = 106,234.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.