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Finding the Third Proportional to 21,647.25 and 46,642.50

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Solution

The third proportional to 21,647.25 and 46,642.50 is: 100,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.25 : 46,642.50 = 46,642.50 : x
  2. Step 2: Convert to fraction form
    21,647.25/46,642.50 = 46,642.50/x
  3. Step 3: Cross multiply
    21,647.25x = 46,642.50 × 46,642.50
  4. Step 4: Simplify right side
    21,647.25x = 2,175,522,806.25
  5. Step 5: Solve for x
    x = 2,175,522,806.25/21,647.25
  6. Step 6: Final answer
    x = 100,498.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.