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Finding the Third Proportional to 13,653.56 and 18,432.56

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Solution

The third proportional to 13,653.56 and 18,432.56 is: 24,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.56 : 18,432.56 = 18,432.56 : x
  2. Step 2: Convert to fraction form
    13,653.56/18,432.56 = 18,432.56/x
  3. Step 3: Cross multiply
    13,653.56x = 18,432.56 × 18,432.56
  4. Step 4: Simplify right side
    13,653.56x = 339,759,360.32
  5. Step 5: Solve for x
    x = 339,759,360.32/13,653.56
  6. Step 6: Final answer
    x = 24,884.30

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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.