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Finding the Third Proportional to 21,411 and 44,313

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Solution

The third proportional to 21,411 and 44,313 is: 91,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411 : 44,313 = 44,313 : x
  2. Step 2: Convert to fraction form
    21,411/44,313 = 44,313/x
  3. Step 3: Cross multiply
    21,411x = 44,313 × 44,313
  4. Step 4: Simplify right side
    21,411x = 1,963,641,969
  5. Step 5: Solve for x
    x = 1,963,641,969/21,411
  6. Step 6: Final answer
    x = 91,711.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.