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Finding the Third Proportional to 12,711.94 and 22,075.03

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Solution

The third proportional to 12,711.94 and 22,075.03 is: 38,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.94 : 22,075.03 = 22,075.03 : x
  2. Step 2: Convert to fraction form
    12,711.94/22,075.03 = 22,075.03/x
  3. Step 3: Cross multiply
    12,711.94x = 22,075.03 × 22,075.03
  4. Step 4: Simplify right side
    12,711.94x = 487,307,004.69
  5. Step 5: Solve for x
    x = 487,307,004.69/12,711.94
  6. Step 6: Final answer
    x = 38,334.60

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.