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Finding the Third Proportional to 19,119 and 29,226

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Solution

The third proportional to 19,119 and 29,226 is: 44,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,119 : 29,226 = 29,226 : x
  2. Step 2: Convert to fraction form
    19,119/29,226 = 29,226/x
  3. Step 3: Cross multiply
    19,119x = 29,226 × 29,226
  4. Step 4: Simplify right side
    19,119x = 854,159,076
  5. Step 5: Solve for x
    x = 854,159,076/19,119
  6. Step 6: Final answer
    x = 44,675.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.