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Finding the Third Proportional to 13,684.55 and 20,587.57

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Solution

The third proportional to 13,684.55 and 20,587.57 is: 30,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.55 : 20,587.57 = 20,587.57 : x
  2. Step 2: Convert to fraction form
    13,684.55/20,587.57 = 20,587.57/x
  3. Step 3: Cross multiply
    13,684.55x = 20,587.57 × 20,587.57
  4. Step 4: Simplify right side
    13,684.55x = 423,848,051.37
  5. Step 5: Solve for x
    x = 423,848,051.37/13,684.55
  6. Step 6: Final answer
    x = 30,972.75

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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.