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Finding the Third Proportional to 13,406.63 and 20,084.06

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Solution

The third proportional to 13,406.63 and 20,084.06 is: 30,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.63 : 20,084.06 = 20,084.06 : x
  2. Step 2: Convert to fraction form
    13,406.63/20,084.06 = 20,084.06/x
  3. Step 3: Cross multiply
    13,406.63x = 20,084.06 × 20,084.06
  4. Step 4: Simplify right side
    13,406.63x = 403,369,566.50
  5. Step 5: Solve for x
    x = 403,369,566.50/13,406.63
  6. Step 6: Final answer
    x = 30,087.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.