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Finding the Third Proportional to 21,050 and 44,516

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Solution

The third proportional to 21,050 and 44,516 is: 94,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,050 : 44,516 = 44,516 : x
  2. Step 2: Convert to fraction form
    21,050/44,516 = 44,516/x
  3. Step 3: Cross multiply
    21,050x = 44,516 × 44,516
  4. Step 4: Simplify right side
    21,050x = 1,981,674,256
  5. Step 5: Solve for x
    x = 1,981,674,256/21,050
  6. Step 6: Final answer
    x = 94,141.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.