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Finding the Third Proportional to 48,351 and 73,916.25

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Solution

The third proportional to 48,351 and 73,916.25 is: 112,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,351 : 73,916.25 = 73,916.25 : x
  2. Step 2: Convert to fraction form
    48,351/73,916.25 = 73,916.25/x
  3. Step 3: Cross multiply
    48,351x = 73,916.25 × 73,916.25
  4. Step 4: Simplify right side
    48,351x = 5,463,612,014.06
  5. Step 5: Solve for x
    x = 5,463,612,014.06/48,351
  6. Step 6: Final answer
    x = 112,998.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.