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Finding the Third Proportional to 20,400.19 and 23,711.06

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Solution

The third proportional to 20,400.19 and 23,711.06 is: 27,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.19 : 23,711.06 = 23,711.06 : x
  2. Step 2: Convert to fraction form
    20,400.19/23,711.06 = 23,711.06/x
  3. Step 3: Cross multiply
    20,400.19x = 23,711.06 × 23,711.06
  4. Step 4: Simplify right side
    20,400.19x = 562,214,484.88
  5. Step 5: Solve for x
    x = 562,214,484.88/20,400.19
  6. Step 6: Final answer
    x = 27,559.28

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.