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Finding the Third Proportional to 21,084 and 46,830

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Solution

The third proportional to 21,084 and 46,830 is: 104,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084 : 46,830 = 46,830 : x
  2. Step 2: Convert to fraction form
    21,084/46,830 = 46,830/x
  3. Step 3: Cross multiply
    21,084x = 46,830 × 46,830
  4. Step 4: Simplify right side
    21,084x = 2,193,048,900
  5. Step 5: Solve for x
    x = 2,193,048,900/21,084
  6. Step 6: Final answer
    x = 104,014.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.