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Finding the Third Proportional to 21,328 and 46,284

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Solution

The third proportional to 21,328 and 46,284 is: 100,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328 : 46,284 = 46,284 : x
  2. Step 2: Convert to fraction form
    21,328/46,284 = 46,284/x
  3. Step 3: Cross multiply
    21,328x = 46,284 × 46,284
  4. Step 4: Simplify right side
    21,328x = 2,142,208,656
  5. Step 5: Solve for x
    x = 2,142,208,656/21,328
  6. Step 6: Final answer
    x = 100,441.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.