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Finding the Third Proportional to 20,449 and 30,673.50

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Solution

The third proportional to 20,449 and 30,673.50 is: 46,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449 : 30,673.50 = 30,673.50 : x
  2. Step 2: Convert to fraction form
    20,449/30,673.50 = 30,673.50/x
  3. Step 3: Cross multiply
    20,449x = 30,673.50 × 30,673.50
  4. Step 4: Simplify right side
    20,449x = 940,863,602.25
  5. Step 5: Solve for x
    x = 940,863,602.25/20,449
  6. Step 6: Final answer
    x = 46,010.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.