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Finding the Third Proportional to 45,021 and 97,673

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Solution

The third proportional to 45,021 and 97,673 is: 211,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,021 : 97,673 = 97,673 : x
  2. Step 2: Convert to fraction form
    45,021/97,673 = 97,673/x
  3. Step 3: Cross multiply
    45,021x = 97,673 × 97,673
  4. Step 4: Simplify right side
    45,021x = 9,540,014,929
  5. Step 5: Solve for x
    x = 9,540,014,929/45,021
  6. Step 6: Final answer
    x = 211,901.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.