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Finding the Third Proportional to 21,884 and 48,008

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Solution

The third proportional to 21,884 and 48,008 is: 105,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884 : 48,008 = 48,008 : x
  2. Step 2: Convert to fraction form
    21,884/48,008 = 48,008/x
  3. Step 3: Cross multiply
    21,884x = 48,008 × 48,008
  4. Step 4: Simplify right side
    21,884x = 2,304,768,064
  5. Step 5: Solve for x
    x = 2,304,768,064/21,884
  6. Step 6: Final answer
    x = 105,317.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.