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Finding the Third Proportional to 21,853.97 and 46,893.94

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Solution

The third proportional to 21,853.97 and 46,893.94 is: 100,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.97 : 46,893.94 = 46,893.94 : x
  2. Step 2: Convert to fraction form
    21,853.97/46,893.94 = 46,893.94/x
  3. Step 3: Cross multiply
    21,853.97x = 46,893.94 × 46,893.94
  4. Step 4: Simplify right side
    21,853.97x = 2,199,041,374.25
  5. Step 5: Solve for x
    x = 2,199,041,374.25/21,853.97
  6. Step 6: Final answer
    x = 100,624.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.