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Finding the Third Proportional to 21,951.75 and 46,515

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Solution

The third proportional to 21,951.75 and 46,515 is: 98,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951.75 : 46,515 = 46,515 : x
  2. Step 2: Convert to fraction form
    21,951.75/46,515 = 46,515/x
  3. Step 3: Cross multiply
    21,951.75x = 46,515 × 46,515
  4. Step 4: Simplify right side
    21,951.75x = 2,163,645,225
  5. Step 5: Solve for x
    x = 2,163,645,225/21,951.75
  6. Step 6: Final answer
    x = 98,563.68

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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.