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Finding the Third Proportional to 39,983.63 and 92,562.75

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Solution

The third proportional to 39,983.63 and 92,562.75 is: 214,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,983.63 : 92,562.75 = 92,562.75 : x
  2. Step 2: Convert to fraction form
    39,983.63/92,562.75 = 92,562.75/x
  3. Step 3: Cross multiply
    39,983.63x = 92,562.75 × 92,562.75
  4. Step 4: Simplify right side
    39,983.63x = 8,567,862,687.56
  5. Step 5: Solve for x
    x = 8,567,862,687.56/39,983.63
  6. Step 6: Final answer
    x = 214,284.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.