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Finding the Third Proportional to 13,075.88 and 18,853.88

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Solution

The third proportional to 13,075.88 and 18,853.88 is: 27,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.88 : 18,853.88 = 18,853.88 : x
  2. Step 2: Convert to fraction form
    13,075.88/18,853.88 = 18,853.88/x
  3. Step 3: Cross multiply
    13,075.88x = 18,853.88 × 18,853.88
  4. Step 4: Simplify right side
    13,075.88x = 355,468,602.52
  5. Step 5: Solve for x
    x = 355,468,602.52/13,075.88
  6. Step 6: Final answer
    x = 27,185.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.