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Finding the Third Proportional to 21,832.98 and 46,778.45

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Solution

The third proportional to 21,832.98 and 46,778.45 is: 100,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.98 : 46,778.45 = 46,778.45 : x
  2. Step 2: Convert to fraction form
    21,832.98/46,778.45 = 46,778.45/x
  3. Step 3: Cross multiply
    21,832.98x = 46,778.45 × 46,778.45
  4. Step 4: Simplify right side
    21,832.98x = 2,188,223,311.31
  5. Step 5: Solve for x
    x = 2,188,223,311.31/21,832.98
  6. Step 6: Final answer
    x = 100,225.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.