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Finding the Third Proportional to 20,454.75 and 30,007.69

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Solution

The third proportional to 20,454.75 and 30,007.69 is: 44,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.75 : 30,007.69 = 30,007.69 : x
  2. Step 2: Convert to fraction form
    20,454.75/30,007.69 = 30,007.69/x
  3. Step 3: Cross multiply
    20,454.75x = 30,007.69 × 30,007.69
  4. Step 4: Simplify right side
    20,454.75x = 900,461,309.10
  5. Step 5: Solve for x
    x = 900,461,309.10/20,454.75
  6. Step 6: Final answer
    x = 44,022.11

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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.