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Finding the Third Proportional to 13,704.19 and 20,657.53

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Solution

The third proportional to 13,704.19 and 20,657.53 is: 31,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.19 : 20,657.53 = 20,657.53 : x
  2. Step 2: Convert to fraction form
    13,704.19/20,657.53 = 20,657.53/x
  3. Step 3: Cross multiply
    13,704.19x = 20,657.53 × 20,657.53
  4. Step 4: Simplify right side
    13,704.19x = 426,733,597.34
  5. Step 5: Solve for x
    x = 426,733,597.34/13,704.19
  6. Step 6: Final answer
    x = 31,138.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.