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Finding the Third Proportional to 21,176 and 45,091

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Solution

The third proportional to 21,176 and 45,091 is: 96,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 45,091 = 45,091 : x
  2. Step 2: Convert to fraction form
    21,176/45,091 = 45,091/x
  3. Step 3: Cross multiply
    21,176x = 45,091 × 45,091
  4. Step 4: Simplify right side
    21,176x = 2,033,198,281
  5. Step 5: Solve for x
    x = 2,033,198,281/21,176
  6. Step 6: Final answer
    x = 96,014.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.