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Finding the Third Proportional to 46,011 and 65,247

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Solution

The third proportional to 46,011 and 65,247 is: 92,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,011 : 65,247 = 65,247 : x
  2. Step 2: Convert to fraction form
    46,011/65,247 = 65,247/x
  3. Step 3: Cross multiply
    46,011x = 65,247 × 65,247
  4. Step 4: Simplify right side
    46,011x = 4,257,171,009
  5. Step 5: Solve for x
    x = 4,257,171,009/46,011
  6. Step 6: Final answer
    x = 92,525.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.