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Finding the Third Proportional to 21,798 and 46,449

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Solution

The third proportional to 21,798 and 46,449 is: 98,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798 : 46,449 = 46,449 : x
  2. Step 2: Convert to fraction form
    21,798/46,449 = 46,449/x
  3. Step 3: Cross multiply
    21,798x = 46,449 × 46,449
  4. Step 4: Simplify right side
    21,798x = 2,157,509,601
  5. Step 5: Solve for x
    x = 2,157,509,601/21,798
  6. Step 6: Final answer
    x = 98,977.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.