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Finding the Third Proportional to 37,303 and 53,112

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Solution

The third proportional to 37,303 and 53,112 is: 75,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,303 : 53,112 = 53,112 : x
  2. Step 2: Convert to fraction form
    37,303/53,112 = 53,112/x
  3. Step 3: Cross multiply
    37,303x = 53,112 × 53,112
  4. Step 4: Simplify right side
    37,303x = 2,820,884,544
  5. Step 5: Solve for x
    x = 2,820,884,544/37,303
  6. Step 6: Final answer
    x = 75,620.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.