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Finding the Third Proportional to 23,803 and 35,011

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Solution

The third proportional to 23,803 and 35,011 is: 51,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803 : 35,011 = 35,011 : x
  2. Step 2: Convert to fraction form
    23,803/35,011 = 35,011/x
  3. Step 3: Cross multiply
    23,803x = 35,011 × 35,011
  4. Step 4: Simplify right side
    23,803x = 1,225,770,121
  5. Step 5: Solve for x
    x = 1,225,770,121/23,803
  6. Step 6: Final answer
    x = 51,496.46

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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.