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Finding the Third Proportional to 12,534.75 and 18,804.66

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Solution

The third proportional to 12,534.75 and 18,804.66 is: 28,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.75 : 18,804.66 = 18,804.66 : x
  2. Step 2: Convert to fraction form
    12,534.75/18,804.66 = 18,804.66/x
  3. Step 3: Cross multiply
    12,534.75x = 18,804.66 × 18,804.66
  4. Step 4: Simplify right side
    12,534.75x = 353,615,096.68
  5. Step 5: Solve for x
    x = 353,615,096.68/12,534.75
  6. Step 6: Final answer
    x = 28,210.78

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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.