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Finding the Third Proportional to 46,164 and 61,608

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Solution

The third proportional to 46,164 and 61,608 is: 82,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,164 : 61,608 = 61,608 : x
  2. Step 2: Convert to fraction form
    46,164/61,608 = 61,608/x
  3. Step 3: Cross multiply
    46,164x = 61,608 × 61,608
  4. Step 4: Simplify right side
    46,164x = 3,795,545,664
  5. Step 5: Solve for x
    x = 3,795,545,664/46,164
  6. Step 6: Final answer
    x = 82,218.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.