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Finding the Third Proportional to 21,716 and 47,968

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Solution

The third proportional to 21,716 and 47,968 is: 105,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716 : 47,968 = 47,968 : x
  2. Step 2: Convert to fraction form
    21,716/47,968 = 47,968/x
  3. Step 3: Cross multiply
    21,716x = 47,968 × 47,968
  4. Step 4: Simplify right side
    21,716x = 2,300,929,024
  5. Step 5: Solve for x
    x = 2,300,929,024/21,716
  6. Step 6: Final answer
    x = 105,955.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.