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Finding the Third Proportional to 12,907.50 and 19,850.25

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Solution

The third proportional to 12,907.50 and 19,850.25 is: 30,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.50 : 19,850.25 = 19,850.25 : x
  2. Step 2: Convert to fraction form
    12,907.50/19,850.25 = 19,850.25/x
  3. Step 3: Cross multiply
    12,907.50x = 19,850.25 × 19,850.25
  4. Step 4: Simplify right side
    12,907.50x = 394,032,425.06
  5. Step 5: Solve for x
    x = 394,032,425.06/12,907.50
  6. Step 6: Final answer
    x = 30,527.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.