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Finding the Third Proportional to 20,054.50 and 43,288

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Solution

The third proportional to 20,054.50 and 43,288 is: 93,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.50 : 43,288 = 43,288 : x
  2. Step 2: Convert to fraction form
    20,054.50/43,288 = 43,288/x
  3. Step 3: Cross multiply
    20,054.50x = 43,288 × 43,288
  4. Step 4: Simplify right side
    20,054.50x = 1,873,850,944
  5. Step 5: Solve for x
    x = 1,873,850,944/20,054.50
  6. Step 6: Final answer
    x = 93,437.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.