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Finding the Third Proportional to 19,786 and 42,145

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Solution

The third proportional to 19,786 and 42,145 is: 89,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786 : 42,145 = 42,145 : x
  2. Step 2: Convert to fraction form
    19,786/42,145 = 42,145/x
  3. Step 3: Cross multiply
    19,786x = 42,145 × 42,145
  4. Step 4: Simplify right side
    19,786x = 1,776,201,025
  5. Step 5: Solve for x
    x = 1,776,201,025/19,786
  6. Step 6: Final answer
    x = 89,770.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.