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Finding the Third Proportional to 21,922.88 and 46,454.63

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Solution

The third proportional to 21,922.88 and 46,454.63 is: 98,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.88 : 46,454.63 = 46,454.63 : x
  2. Step 2: Convert to fraction form
    21,922.88/46,454.63 = 46,454.63/x
  3. Step 3: Cross multiply
    21,922.88x = 46,454.63 × 46,454.63
  4. Step 4: Simplify right side
    21,922.88x = 2,158,032,183.89
  5. Step 5: Solve for x
    x = 2,158,032,183.89/21,922.88
  6. Step 6: Final answer
    x = 98,437.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.