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Finding the Third Proportional to 19,777 and 42,973

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Solution

The third proportional to 19,777 and 42,973 is: 93,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777 : 42,973 = 42,973 : x
  2. Step 2: Convert to fraction form
    19,777/42,973 = 42,973/x
  3. Step 3: Cross multiply
    19,777x = 42,973 × 42,973
  4. Step 4: Simplify right side
    19,777x = 1,846,678,729
  5. Step 5: Solve for x
    x = 1,846,678,729/19,777
  6. Step 6: Final answer
    x = 93,375.07

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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.