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Finding the Third Proportional to 49,801.50 and 74,756.25

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Solution

The third proportional to 49,801.50 and 74,756.25 is: 112,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801.50 : 74,756.25 = 74,756.25 : x
  2. Step 2: Convert to fraction form
    49,801.50/74,756.25 = 74,756.25/x
  3. Step 3: Cross multiply
    49,801.50x = 74,756.25 × 74,756.25
  4. Step 4: Simplify right side
    49,801.50x = 5,588,496,914.06
  5. Step 5: Solve for x
    x = 5,588,496,914.06/49,801.50
  6. Step 6: Final answer
    x = 112,215.43

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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.