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Finding the Third Proportional to 19,410 and 42,116

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Solution

The third proportional to 19,410 and 42,116 is: 91,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,410 : 42,116 = 42,116 : x
  2. Step 2: Convert to fraction form
    19,410/42,116 = 42,116/x
  3. Step 3: Cross multiply
    19,410x = 42,116 × 42,116
  4. Step 4: Simplify right side
    19,410x = 1,773,757,456
  5. Step 5: Solve for x
    x = 1,773,757,456/19,410
  6. Step 6: Final answer
    x = 91,383.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.