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Finding the Third Proportional to 21,804 and 46,048

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Solution

The third proportional to 21,804 and 46,048 is: 97,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804 : 46,048 = 46,048 : x
  2. Step 2: Convert to fraction form
    21,804/46,048 = 46,048/x
  3. Step 3: Cross multiply
    21,804x = 46,048 × 46,048
  4. Step 4: Simplify right side
    21,804x = 2,120,418,304
  5. Step 5: Solve for x
    x = 2,120,418,304/21,804
  6. Step 6: Final answer
    x = 97,249.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.