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Finding the Third Proportional to 34,983.56 and 76,528.13

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Solution

The third proportional to 34,983.56 and 76,528.13 is: 167,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,983.56 : 76,528.13 = 76,528.13 : x
  2. Step 2: Convert to fraction form
    34,983.56/76,528.13 = 76,528.13/x
  3. Step 3: Cross multiply
    34,983.56x = 76,528.13 × 76,528.13
  4. Step 4: Simplify right side
    34,983.56x = 5,856,553,916.02
  5. Step 5: Solve for x
    x = 5,856,553,916.02/34,983.56
  6. Step 6: Final answer
    x = 167,408.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.