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Finding the Third Proportional to 21,147 and 45,222

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Solution

The third proportional to 21,147 and 45,222 is: 96,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147 : 45,222 = 45,222 : x
  2. Step 2: Convert to fraction form
    21,147/45,222 = 45,222/x
  3. Step 3: Cross multiply
    21,147x = 45,222 × 45,222
  4. Step 4: Simplify right side
    21,147x = 2,045,029,284
  5. Step 5: Solve for x
    x = 2,045,029,284/21,147
  6. Step 6: Final answer
    x = 96,705.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.