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Finding the Third Proportional to 19,095 and 40,134

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Solution

The third proportional to 19,095 and 40,134 is: 84,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,095 : 40,134 = 40,134 : x
  2. Step 2: Convert to fraction form
    19,095/40,134 = 40,134/x
  3. Step 3: Cross multiply
    19,095x = 40,134 × 40,134
  4. Step 4: Simplify right side
    19,095x = 1,610,737,956
  5. Step 5: Solve for x
    x = 1,610,737,956/19,095
  6. Step 6: Final answer
    x = 84,353.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.