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Finding the Third Proportional to 21,313 and 44,827

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Solution

The third proportional to 21,313 and 44,827 is: 94,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313 : 44,827 = 44,827 : x
  2. Step 2: Convert to fraction form
    21,313/44,827 = 44,827/x
  3. Step 3: Cross multiply
    21,313x = 44,827 × 44,827
  4. Step 4: Simplify right side
    21,313x = 2,009,459,929
  5. Step 5: Solve for x
    x = 2,009,459,929/21,313
  6. Step 6: Final answer
    x = 94,283.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.