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Finding the Third Proportional to 21,590 and 44,224

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Solution

The third proportional to 21,590 and 44,224 is: 90,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,590 : 44,224 = 44,224 : x
  2. Step 2: Convert to fraction form
    21,590/44,224 = 44,224/x
  3. Step 3: Cross multiply
    21,590x = 44,224 × 44,224
  4. Step 4: Simplify right side
    21,590x = 1,955,762,176
  5. Step 5: Solve for x
    x = 1,955,762,176/21,590
  6. Step 6: Final answer
    x = 90,586.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.