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Finding the Third Proportional to 37,072 and 55,928

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Solution

The third proportional to 37,072 and 55,928 is: 84,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072 : 55,928 = 55,928 : x
  2. Step 2: Convert to fraction form
    37,072/55,928 = 55,928/x
  3. Step 3: Cross multiply
    37,072x = 55,928 × 55,928
  4. Step 4: Simplify right side
    37,072x = 3,127,941,184
  5. Step 5: Solve for x
    x = 3,127,941,184/37,072
  6. Step 6: Final answer
    x = 84,374.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.