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Finding the Third Proportional to 21,393.75 and 46,517.25

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Solution

The third proportional to 21,393.75 and 46,517.25 is: 101,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.75 : 46,517.25 = 46,517.25 : x
  2. Step 2: Convert to fraction form
    21,393.75/46,517.25 = 46,517.25/x
  3. Step 3: Cross multiply
    21,393.75x = 46,517.25 × 46,517.25
  4. Step 4: Simplify right side
    21,393.75x = 2,163,854,547.56
  5. Step 5: Solve for x
    x = 2,163,854,547.56/21,393.75
  6. Step 6: Final answer
    x = 101,144.24

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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.