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Finding the Third Proportional to 22,017 and 45,858

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Solution

The third proportional to 22,017 and 45,858 is: 95,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017 : 45,858 = 45,858 : x
  2. Step 2: Convert to fraction form
    22,017/45,858 = 45,858/x
  3. Step 3: Cross multiply
    22,017x = 45,858 × 45,858
  4. Step 4: Simplify right side
    22,017x = 2,102,956,164
  5. Step 5: Solve for x
    x = 2,102,956,164/22,017
  6. Step 6: Final answer
    x = 95,515.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.