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Finding the Third Proportional to 39,075.54 and 91,367.05

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Solution

The third proportional to 39,075.54 and 91,367.05 is: 213,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,075.54 : 91,367.05 = 91,367.05 : x
  2. Step 2: Convert to fraction form
    39,075.54/91,367.05 = 91,367.05/x
  3. Step 3: Cross multiply
    39,075.54x = 91,367.05 × 91,367.05
  4. Step 4: Simplify right side
    39,075.54x = 8,347,937,968.46
  5. Step 5: Solve for x
    x = 8,347,937,968.46/39,075.54
  6. Step 6: Final answer
    x = 213,635.90

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.