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Finding the Third Proportional to 13,880.25 and 22,075.88

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Solution

The third proportional to 13,880.25 and 22,075.88 is: 35,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.25 : 22,075.88 = 22,075.88 : x
  2. Step 2: Convert to fraction form
    13,880.25/22,075.88 = 22,075.88/x
  3. Step 3: Cross multiply
    13,880.25x = 22,075.88 × 22,075.88
  4. Step 4: Simplify right side
    13,880.25x = 487,344,257.02
  5. Step 5: Solve for x
    x = 487,344,257.02/13,880.25
  6. Step 6: Final answer
    x = 35,110.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.