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Finding the Third Proportional to 19,807 and 42,286

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Solution

The third proportional to 19,807 and 42,286 is: 90,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807 : 42,286 = 42,286 : x
  2. Step 2: Convert to fraction form
    19,807/42,286 = 42,286/x
  3. Step 3: Cross multiply
    19,807x = 42,286 × 42,286
  4. Step 4: Simplify right side
    19,807x = 1,788,105,796
  5. Step 5: Solve for x
    x = 1,788,105,796/19,807
  6. Step 6: Final answer
    x = 90,276.46

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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.