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Finding the Third Proportional to 21,952 and 48,280

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Solution

The third proportional to 21,952 and 48,280 is: 106,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 48,280 = 48,280 : x
  2. Step 2: Convert to fraction form
    21,952/48,280 = 48,280/x
  3. Step 3: Cross multiply
    21,952x = 48,280 × 48,280
  4. Step 4: Simplify right side
    21,952x = 2,330,958,400
  5. Step 5: Solve for x
    x = 2,330,958,400/21,952
  6. Step 6: Final answer
    x = 106,184.33

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