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Finding the Third Proportional to 20,378 and 42,968

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Solution

The third proportional to 20,378 and 42,968 is: 90,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378 : 42,968 = 42,968 : x
  2. Step 2: Convert to fraction form
    20,378/42,968 = 42,968/x
  3. Step 3: Cross multiply
    20,378x = 42,968 × 42,968
  4. Step 4: Simplify right side
    20,378x = 1,846,249,024
  5. Step 5: Solve for x
    x = 1,846,249,024/20,378
  6. Step 6: Final answer
    x = 90,600.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.