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Finding the Third Proportional to 20,014.50 and 29,980.50

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Solution

The third proportional to 20,014.50 and 29,980.50 is: 44,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.50 : 29,980.50 = 29,980.50 : x
  2. Step 2: Convert to fraction form
    20,014.50/29,980.50 = 29,980.50/x
  3. Step 3: Cross multiply
    20,014.50x = 29,980.50 × 29,980.50
  4. Step 4: Simplify right side
    20,014.50x = 898,830,380.25
  5. Step 5: Solve for x
    x = 898,830,380.25/20,014.50
  6. Step 6: Final answer
    x = 44,908.96

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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.