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Finding the Third Proportional to 12,858.75 and 30,952.13

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Solution

The third proportional to 12,858.75 and 30,952.13 is: 74,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.75 : 30,952.13 = 30,952.13 : x
  2. Step 2: Convert to fraction form
    12,858.75/30,952.13 = 30,952.13/x
  3. Step 3: Cross multiply
    12,858.75x = 30,952.13 × 30,952.13
  4. Step 4: Simplify right side
    12,858.75x = 958,034,042.02
  5. Step 5: Solve for x
    x = 958,034,042.02/12,858.75
  6. Step 6: Final answer
    x = 74,504.45

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.