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Finding the Third Proportional to 5,152.36 and 10,971.07

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Solution

The third proportional to 5,152.36 and 10,971.07 is: 23,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.36 : 10,971.07 = 10,971.07 : x
  2. Step 2: Convert to fraction form
    5,152.36/10,971.07 = 10,971.07/x
  3. Step 3: Cross multiply
    5,152.36x = 10,971.07 × 10,971.07
  4. Step 4: Simplify right side
    5,152.36x = 120,364,383.80
  5. Step 5: Solve for x
    x = 120,364,383.80/5,152.36
  6. Step 6: Final answer
    x = 23,361.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.