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Finding the Third Proportional to 22,740 and 48,184

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Solution

The third proportional to 22,740 and 48,184 is: 102,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740 : 48,184 = 48,184 : x
  2. Step 2: Convert to fraction form
    22,740/48,184 = 48,184/x
  3. Step 3: Cross multiply
    22,740x = 48,184 × 48,184
  4. Step 4: Simplify right side
    22,740x = 2,321,697,856
  5. Step 5: Solve for x
    x = 2,321,697,856/22,740
  6. Step 6: Final answer
    x = 102,097.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.