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Finding the Third Proportional to 20,000.25 and 30,155.63

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Solution

The third proportional to 20,000.25 and 30,155.63 is: 45,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.25 : 30,155.63 = 30,155.63 : x
  2. Step 2: Convert to fraction form
    20,000.25/30,155.63 = 30,155.63/x
  3. Step 3: Cross multiply
    20,000.25x = 30,155.63 × 30,155.63
  4. Step 4: Simplify right side
    20,000.25x = 909,361,719.14
  5. Step 5: Solve for x
    x = 909,361,719.14/20,000.25
  6. Step 6: Final answer
    x = 45,467.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.