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Finding the Third Proportional to 20,461.50 and 30,019.50

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Solution

The third proportional to 20,461.50 and 30,019.50 is: 44,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.50 : 30,019.50 = 30,019.50 : x
  2. Step 2: Convert to fraction form
    20,461.50/30,019.50 = 30,019.50/x
  3. Step 3: Cross multiply
    20,461.50x = 30,019.50 × 30,019.50
  4. Step 4: Simplify right side
    20,461.50x = 901,170,380.25
  5. Step 5: Solve for x
    x = 901,170,380.25/20,461.50
  6. Step 6: Final answer
    x = 44,042.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.