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Finding the Third Proportional to 12,102 and 19,018

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Solution

The third proportional to 12,102 and 19,018 is: 29,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102 : 19,018 = 19,018 : x
  2. Step 2: Convert to fraction form
    12,102/19,018 = 19,018/x
  3. Step 3: Cross multiply
    12,102x = 19,018 × 19,018
  4. Step 4: Simplify right side
    12,102x = 361,684,324
  5. Step 5: Solve for x
    x = 361,684,324/12,102
  6. Step 6: Final answer
    x = 29,886.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.