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Finding the Third Proportional to 49,938.75 and 75,442.50

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Solution

The third proportional to 49,938.75 and 75,442.50 is: 113,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,938.75 : 75,442.50 = 75,442.50 : x
  2. Step 2: Convert to fraction form
    49,938.75/75,442.50 = 75,442.50/x
  3. Step 3: Cross multiply
    49,938.75x = 75,442.50 × 75,442.50
  4. Step 4: Simplify right side
    49,938.75x = 5,691,570,806.25
  5. Step 5: Solve for x
    x = 5,691,570,806.25/49,938.75
  6. Step 6: Final answer
    x = 113,971.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.