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Finding the Third Proportional to 13,607.63 and 20,616.56

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Solution

The third proportional to 13,607.63 and 20,616.56 is: 31,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.63 : 20,616.56 = 20,616.56 : x
  2. Step 2: Convert to fraction form
    13,607.63/20,616.56 = 20,616.56/x
  3. Step 3: Cross multiply
    13,607.63x = 20,616.56 × 20,616.56
  4. Step 4: Simplify right side
    13,607.63x = 425,042,649.32
  5. Step 5: Solve for x
    x = 425,042,649.32/13,607.63
  6. Step 6: Final answer
    x = 31,235.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.