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Finding the Third Proportional to 37,956 and 81,528

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Solution

The third proportional to 37,956 and 81,528 is: 175,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956 : 81,528 = 81,528 : x
  2. Step 2: Convert to fraction form
    37,956/81,528 = 81,528/x
  3. Step 3: Cross multiply
    37,956x = 81,528 × 81,528
  4. Step 4: Simplify right side
    37,956x = 6,646,814,784
  5. Step 5: Solve for x
    x = 6,646,814,784/37,956
  6. Step 6: Final answer
    x = 175,118.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.