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Finding the Third Proportional to 3,112.50 and 6,818.25

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Solution

The third proportional to 3,112.50 and 6,818.25 is: 14,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.50 : 6,818.25 = 6,818.25 : x
  2. Step 2: Convert to fraction form
    3,112.50/6,818.25 = 6,818.25/x
  3. Step 3: Cross multiply
    3,112.50x = 6,818.25 × 6,818.25
  4. Step 4: Simplify right side
    3,112.50x = 46,488,533.06
  5. Step 5: Solve for x
    x = 46,488,533.06/3,112.50
  6. Step 6: Final answer
    x = 14,936.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.