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Finding the Third Proportional to 5,325.75 and 7,824.38

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Solution

The third proportional to 5,325.75 and 7,824.38 is: 11,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.75 : 7,824.38 = 7,824.38 : x
  2. Step 2: Convert to fraction form
    5,325.75/7,824.38 = 7,824.38/x
  3. Step 3: Cross multiply
    5,325.75x = 7,824.38 × 7,824.38
  4. Step 4: Simplify right side
    5,325.75x = 61,220,844.14
  5. Step 5: Solve for x
    x = 61,220,844.14/5,325.75
  6. Step 6: Final answer
    x = 11,495.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.