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Finding the Third Proportional to 20,316 and 43,614

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Solution

The third proportional to 20,316 and 43,614 is: 93,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316 : 43,614 = 43,614 : x
  2. Step 2: Convert to fraction form
    20,316/43,614 = 43,614/x
  3. Step 3: Cross multiply
    20,316x = 43,614 × 43,614
  4. Step 4: Simplify right side
    20,316x = 1,902,180,996
  5. Step 5: Solve for x
    x = 1,902,180,996/20,316
  6. Step 6: Final answer
    x = 93,629.70

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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.