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Finding the Third Proportional to 21,075.75 and 46,388.25

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Solution

The third proportional to 21,075.75 and 46,388.25 is: 102,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.75 : 46,388.25 = 46,388.25 : x
  2. Step 2: Convert to fraction form
    21,075.75/46,388.25 = 46,388.25/x
  3. Step 3: Cross multiply
    21,075.75x = 46,388.25 × 46,388.25
  4. Step 4: Simplify right side
    21,075.75x = 2,151,869,738.06
  5. Step 5: Solve for x
    x = 2,151,869,738.06/21,075.75
  6. Step 6: Final answer
    x = 102,101.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.