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Finding the Third Proportional to 5,152.36 and 7,812.07

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Solution

The third proportional to 5,152.36 and 7,812.07 is: 11,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.36 : 7,812.07 = 7,812.07 : x
  2. Step 2: Convert to fraction form
    5,152.36/7,812.07 = 7,812.07/x
  3. Step 3: Cross multiply
    5,152.36x = 7,812.07 × 7,812.07
  4. Step 4: Simplify right side
    5,152.36x = 61,028,442.57
  5. Step 5: Solve for x
    x = 61,028,442.57/5,152.36
  6. Step 6: Final answer
    x = 11,844.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.