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Finding the Third Proportional to 31,846.78 and 65,075.63

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Solution

The third proportional to 31,846.78 and 65,075.63 is: 132,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.78 : 65,075.63 = 65,075.63 : x
  2. Step 2: Convert to fraction form
    31,846.78/65,075.63 = 65,075.63/x
  3. Step 3: Cross multiply
    31,846.78x = 65,075.63 × 65,075.63
  4. Step 4: Simplify right side
    31,846.78x = 4,234,836,969.14
  5. Step 5: Solve for x
    x = 4,234,836,969.14/31,846.78
  6. Step 6: Final answer
    x = 132,975.35

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.