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Finding the Third Proportional to 19,812 and 42,642

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Solution

The third proportional to 19,812 and 42,642 is: 91,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 42,642 = 42,642 : x
  2. Step 2: Convert to fraction form
    19,812/42,642 = 42,642/x
  3. Step 3: Cross multiply
    19,812x = 42,642 × 42,642
  4. Step 4: Simplify right side
    19,812x = 1,818,340,164
  5. Step 5: Solve for x
    x = 1,818,340,164/19,812
  6. Step 6: Final answer
    x = 91,779.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.