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Finding the Third Proportional to 50,762.50 and 74,672

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Solution

The third proportional to 50,762.50 and 74,672 is: 109,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,762.50 : 74,672 = 74,672 : x
  2. Step 2: Convert to fraction form
    50,762.50/74,672 = 74,672/x
  3. Step 3: Cross multiply
    50,762.50x = 74,672 × 74,672
  4. Step 4: Simplify right side
    50,762.50x = 5,575,907,584
  5. Step 5: Solve for x
    x = 5,575,907,584/50,762.50
  6. Step 6: Final answer
    x = 109,843.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.