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Finding the Third Proportional to 21,120.75 and 45,920.25

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Solution

The third proportional to 21,120.75 and 45,920.25 is: 99,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.75 : 45,920.25 = 45,920.25 : x
  2. Step 2: Convert to fraction form
    21,120.75/45,920.25 = 45,920.25/x
  3. Step 3: Cross multiply
    21,120.75x = 45,920.25 × 45,920.25
  4. Step 4: Simplify right side
    21,120.75x = 2,108,669,360.06
  5. Step 5: Solve for x
    x = 2,108,669,360.06/21,120.75
  6. Step 6: Final answer
    x = 99,838.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.