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Finding the Third Proportional to 12,534.56 and 18,804.31

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Solution

The third proportional to 12,534.56 and 18,804.31 is: 28,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.56 : 18,804.31 = 18,804.31 : x
  2. Step 2: Convert to fraction form
    12,534.56/18,804.31 = 18,804.31/x
  3. Step 3: Cross multiply
    12,534.56x = 18,804.31 × 18,804.31
  4. Step 4: Simplify right side
    12,534.56x = 353,602,168.60
  5. Step 5: Solve for x
    x = 353,602,168.60/12,534.56
  6. Step 6: Final answer
    x = 28,210.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.