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Finding the Third Proportional to 12,247.31 and 16,548.19

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Solution

The third proportional to 12,247.31 and 16,548.19 is: 22,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.31 : 16,548.19 = 16,548.19 : x
  2. Step 2: Convert to fraction form
    12,247.31/16,548.19 = 16,548.19/x
  3. Step 3: Cross multiply
    12,247.31x = 16,548.19 × 16,548.19
  4. Step 4: Simplify right side
    12,247.31x = 273,842,509.54
  5. Step 5: Solve for x
    x = 273,842,509.54/12,247.31
  6. Step 6: Final answer
    x = 22,359.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.