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Finding the Third Proportional to 19,018 and 46,085

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Solution

The third proportional to 19,018 and 46,085 is: 111,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,018 : 46,085 = 46,085 : x
  2. Step 2: Convert to fraction form
    19,018/46,085 = 46,085/x
  3. Step 3: Cross multiply
    19,018x = 46,085 × 46,085
  4. Step 4: Simplify right side
    19,018x = 2,123,827,225
  5. Step 5: Solve for x
    x = 2,123,827,225/19,018
  6. Step 6: Final answer
    x = 111,674.58

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.