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Finding the Third Proportional to 18,900 and 28,562.63

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Solution

The third proportional to 18,900 and 28,562.63 is: 43,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,900 : 28,562.63 = 28,562.63 : x
  2. Step 2: Convert to fraction form
    18,900/28,562.63 = 28,562.63/x
  3. Step 3: Cross multiply
    18,900x = 28,562.63 × 28,562.63
  4. Step 4: Simplify right side
    18,900x = 815,823,546.89
  5. Step 5: Solve for x
    x = 815,823,546.89/18,900
  6. Step 6: Final answer
    x = 43,165.27

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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.