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Finding the Third Proportional to 21,523.50 and 46,621

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Solution

The third proportional to 21,523.50 and 46,621 is: 100,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.50 : 46,621 = 46,621 : x
  2. Step 2: Convert to fraction form
    21,523.50/46,621 = 46,621/x
  3. Step 3: Cross multiply
    21,523.50x = 46,621 × 46,621
  4. Step 4: Simplify right side
    21,523.50x = 2,173,517,641
  5. Step 5: Solve for x
    x = 2,173,517,641/21,523.50
  6. Step 6: Final answer
    x = 100,983.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.