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Finding the Third Proportional to 58,783.25 and 84,027

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Solution

The third proportional to 58,783.25 and 84,027 is: 120,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,783.25 : 84,027 = 84,027 : x
  2. Step 2: Convert to fraction form
    58,783.25/84,027 = 84,027/x
  3. Step 3: Cross multiply
    58,783.25x = 84,027 × 84,027
  4. Step 4: Simplify right side
    58,783.25x = 7,060,536,729
  5. Step 5: Solve for x
    x = 7,060,536,729/58,783.25
  6. Step 6: Final answer
    x = 120,111.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.