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Finding the Third Proportional to 37,295 and 52,144

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Solution

The third proportional to 37,295 and 52,144 is: 72,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,295 : 52,144 = 52,144 : x
  2. Step 2: Convert to fraction form
    37,295/52,144 = 52,144/x
  3. Step 3: Cross multiply
    37,295x = 52,144 × 52,144
  4. Step 4: Simplify right side
    37,295x = 2,718,996,736
  5. Step 5: Solve for x
    x = 2,718,996,736/37,295
  6. Step 6: Final answer
    x = 72,905.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.