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Finding the Third Proportional to 20,958 and 45,182

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Solution

The third proportional to 20,958 and 45,182 is: 97,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958 : 45,182 = 45,182 : x
  2. Step 2: Convert to fraction form
    20,958/45,182 = 45,182/x
  3. Step 3: Cross multiply
    20,958x = 45,182 × 45,182
  4. Step 4: Simplify right side
    20,958x = 2,041,413,124
  5. Step 5: Solve for x
    x = 2,041,413,124/20,958
  6. Step 6: Final answer
    x = 97,404.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.