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Finding the Third Proportional to 2,362.78 and 3,890.25

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Solution

The third proportional to 2,362.78 and 3,890.25 is: 6,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.78 : 3,890.25 = 3,890.25 : x
  2. Step 2: Convert to fraction form
    2,362.78/3,890.25 = 3,890.25/x
  3. Step 3: Cross multiply
    2,362.78x = 3,890.25 × 3,890.25
  4. Step 4: Simplify right side
    2,362.78x = 15,134,045.06
  5. Step 5: Solve for x
    x = 15,134,045.06/2,362.78
  6. Step 6: Final answer
    x = 6,405.18

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.