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Finding the Third Proportional to 14,078.39 and 21,075.82

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Solution

The third proportional to 14,078.39 and 21,075.82 is: 31,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.39 : 21,075.82 = 21,075.82 : x
  2. Step 2: Convert to fraction form
    14,078.39/21,075.82 = 21,075.82/x
  3. Step 3: Cross multiply
    14,078.39x = 21,075.82 × 21,075.82
  4. Step 4: Simplify right side
    14,078.39x = 444,190,201.84
  5. Step 5: Solve for x
    x = 444,190,201.84/14,078.39
  6. Step 6: Final answer
    x = 31,551.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.