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Finding the Third Proportional to 13,704.19 and 21,125.81

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Solution

The third proportional to 13,704.19 and 21,125.81 is: 32,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.19 : 21,125.81 = 21,125.81 : x
  2. Step 2: Convert to fraction form
    13,704.19/21,125.81 = 21,125.81/x
  3. Step 3: Cross multiply
    13,704.19x = 21,125.81 × 21,125.81
  4. Step 4: Simplify right side
    13,704.19x = 446,299,953.79
  5. Step 5: Solve for x
    x = 446,299,953.79/13,704.19
  6. Step 6: Final answer
    x = 32,566.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.