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Finding the Third Proportional to 21,234 and 46,228

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Solution

The third proportional to 21,234 and 46,228 is: 100,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 46,228 = 46,228 : x
  2. Step 2: Convert to fraction form
    21,234/46,228 = 46,228/x
  3. Step 3: Cross multiply
    21,234x = 46,228 × 46,228
  4. Step 4: Simplify right side
    21,234x = 2,137,027,984
  5. Step 5: Solve for x
    x = 2,137,027,984/21,234
  6. Step 6: Final answer
    x = 100,641.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.