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Finding the Third Proportional to 49,590 and 75,543.75

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Solution

The third proportional to 49,590 and 75,543.75 is: 115,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,590 : 75,543.75 = 75,543.75 : x
  2. Step 2: Convert to fraction form
    49,590/75,543.75 = 75,543.75/x
  3. Step 3: Cross multiply
    49,590x = 75,543.75 × 75,543.75
  4. Step 4: Simplify right side
    49,590x = 5,706,858,164.06
  5. Step 5: Solve for x
    x = 5,706,858,164.06/49,590
  6. Step 6: Final answer
    x = 115,080.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.