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Finding the Third Proportional to 13,530.38 and 18,432.56

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Solution

The third proportional to 13,530.38 and 18,432.56 is: 25,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.38 : 18,432.56 = 18,432.56 : x
  2. Step 2: Convert to fraction form
    13,530.38/18,432.56 = 18,432.56/x
  3. Step 3: Cross multiply
    13,530.38x = 18,432.56 × 18,432.56
  4. Step 4: Simplify right side
    13,530.38x = 339,759,360.32
  5. Step 5: Solve for x
    x = 339,759,360.32/13,530.38
  6. Step 6: Final answer
    x = 25,110.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.