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Finding the Third Proportional to 21,323 and 44,014

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Solution

The third proportional to 21,323 and 44,014 is: 90,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323 : 44,014 = 44,014 : x
  2. Step 2: Convert to fraction form
    21,323/44,014 = 44,014/x
  3. Step 3: Cross multiply
    21,323x = 44,014 × 44,014
  4. Step 4: Simplify right side
    21,323x = 1,937,232,196
  5. Step 5: Solve for x
    x = 1,937,232,196/21,323
  6. Step 6: Final answer
    x = 90,851.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.