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Finding the Third Proportional to 50,652.84 and 75,945.09

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Solution

The third proportional to 50,652.84 and 75,945.09 is: 113,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.84 : 75,945.09 = 75,945.09 : x
  2. Step 2: Convert to fraction form
    50,652.84/75,945.09 = 75,945.09/x
  3. Step 3: Cross multiply
    50,652.84x = 75,945.09 × 75,945.09
  4. Step 4: Simplify right side
    50,652.84x = 5,767,657,264.70
  5. Step 5: Solve for x
    x = 5,767,657,264.70/50,652.84
  6. Step 6: Final answer
    x = 113,866.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.