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Finding the Third Proportional to 37,271 and 55,943

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Solution

The third proportional to 37,271 and 55,943 is: 83,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,271 : 55,943 = 55,943 : x
  2. Step 2: Convert to fraction form
    37,271/55,943 = 55,943/x
  3. Step 3: Cross multiply
    37,271x = 55,943 × 55,943
  4. Step 4: Simplify right side
    37,271x = 3,129,619,249
  5. Step 5: Solve for x
    x = 3,129,619,249/37,271
  6. Step 6: Final answer
    x = 83,969.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.