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Finding the Third Proportional to 20,022 and 28,999.50

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Solution

The third proportional to 20,022 and 28,999.50 is: 42,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022 : 28,999.50 = 28,999.50 : x
  2. Step 2: Convert to fraction form
    20,022/28,999.50 = 28,999.50/x
  3. Step 3: Cross multiply
    20,022x = 28,999.50 × 28,999.50
  4. Step 4: Simplify right side
    20,022x = 840,971,000.25
  5. Step 5: Solve for x
    x = 840,971,000.25/20,022
  6. Step 6: Final answer
    x = 42,002.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.