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Finding the Third Proportional to 21,634.75 and 46,729.50

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Solution

The third proportional to 21,634.75 and 46,729.50 is: 100,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.75 : 46,729.50 = 46,729.50 : x
  2. Step 2: Convert to fraction form
    21,634.75/46,729.50 = 46,729.50/x
  3. Step 3: Cross multiply
    21,634.75x = 46,729.50 × 46,729.50
  4. Step 4: Simplify right side
    21,634.75x = 2,183,646,170.25
  5. Step 5: Solve for x
    x = 2,183,646,170.25/21,634.75
  6. Step 6: Final answer
    x = 100,932.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.