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Finding the Third Proportional to 52,933.50 and 76,929.75

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Solution

The third proportional to 52,933.50 and 76,929.75 is: 111,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,933.50 : 76,929.75 = 76,929.75 : x
  2. Step 2: Convert to fraction form
    52,933.50/76,929.75 = 76,929.75/x
  3. Step 3: Cross multiply
    52,933.50x = 76,929.75 × 76,929.75
  4. Step 4: Simplify right side
    52,933.50x = 5,918,186,435.06
  5. Step 5: Solve for x
    x = 5,918,186,435.06/52,933.50
  6. Step 6: Final answer
    x = 111,804.18

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.