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Finding the Third Proportional to 21,797.50 and 46,211

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Solution

The third proportional to 21,797.50 and 46,211 is: 97,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.50 : 46,211 = 46,211 : x
  2. Step 2: Convert to fraction form
    21,797.50/46,211 = 46,211/x
  3. Step 3: Cross multiply
    21,797.50x = 46,211 × 46,211
  4. Step 4: Simplify right side
    21,797.50x = 2,135,456,521
  5. Step 5: Solve for x
    x = 2,135,456,521/21,797.50
  6. Step 6: Final answer
    x = 97,967.96

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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.