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Finding the Third Proportional to 12,075.75 and 17,763.94

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Solution

The third proportional to 12,075.75 and 17,763.94 is: 26,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.75 : 17,763.94 = 17,763.94 : x
  2. Step 2: Convert to fraction form
    12,075.75/17,763.94 = 17,763.94/x
  3. Step 3: Cross multiply
    12,075.75x = 17,763.94 × 17,763.94
  4. Step 4: Simplify right side
    12,075.75x = 315,557,475.50
  5. Step 5: Solve for x
    x = 315,557,475.50/12,075.75
  6. Step 6: Final answer
    x = 26,131.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.