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Finding the Third Proportional to 20,730.94 and 54,014.34

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Solution

The third proportional to 20,730.94 and 54,014.34 is: 140,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.94 : 54,014.34 = 54,014.34 : x
  2. Step 2: Convert to fraction form
    20,730.94/54,014.34 = 54,014.34/x
  3. Step 3: Cross multiply
    20,730.94x = 54,014.34 × 54,014.34
  4. Step 4: Simplify right side
    20,730.94x = 2,917,549,330.74
  5. Step 5: Solve for x
    x = 2,917,549,330.74/20,730.94
  6. Step 6: Final answer
    x = 140,734.08

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These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.