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Finding the Third Proportional to 5,025.75 and 7,837.75

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Solution

The third proportional to 5,025.75 and 7,837.75 is: 12,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025.75 : 7,837.75 = 7,837.75 : x
  2. Step 2: Convert to fraction form
    5,025.75/7,837.75 = 7,837.75/x
  3. Step 3: Cross multiply
    5,025.75x = 7,837.75 × 7,837.75
  4. Step 4: Simplify right side
    5,025.75x = 61,430,325.06
  5. Step 5: Solve for x
    x = 61,430,325.06/5,025.75
  6. Step 6: Final answer
    x = 12,223.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.