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Finding the Third Proportional to 49,027.50 and 75,391.50

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Solution

The third proportional to 49,027.50 and 75,391.50 is: 115,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,027.50 : 75,391.50 = 75,391.50 : x
  2. Step 2: Convert to fraction form
    49,027.50/75,391.50 = 75,391.50/x
  3. Step 3: Cross multiply
    49,027.50x = 75,391.50 × 75,391.50
  4. Step 4: Simplify right side
    49,027.50x = 5,683,878,272.25
  5. Step 5: Solve for x
    x = 5,683,878,272.25/49,027.50
  6. Step 6: Final answer
    x = 115,932.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.