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Finding the Third Proportional to 21,424 and 45,800

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Solution

The third proportional to 21,424 and 45,800 is: 97,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424 : 45,800 = 45,800 : x
  2. Step 2: Convert to fraction form
    21,424/45,800 = 45,800/x
  3. Step 3: Cross multiply
    21,424x = 45,800 × 45,800
  4. Step 4: Simplify right side
    21,424x = 2,097,640,000
  5. Step 5: Solve for x
    x = 2,097,640,000/21,424
  6. Step 6: Final answer
    x = 97,910.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.