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Finding the Third Proportional to 4,673.95 and 9,996.54

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Solution

The third proportional to 4,673.95 and 9,996.54 is: 21,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.95 : 9,996.54 = 9,996.54 : x
  2. Step 2: Convert to fraction form
    4,673.95/9,996.54 = 9,996.54/x
  3. Step 3: Cross multiply
    4,673.95x = 9,996.54 × 9,996.54
  4. Step 4: Simplify right side
    4,673.95x = 99,930,793.23
  5. Step 5: Solve for x
    x = 99,930,793.23/4,673.95
  6. Step 6: Final answer
    x = 21,380.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.