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Finding the Third Proportional to 56,974.50 and 82,963.13

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Solution

The third proportional to 56,974.50 and 82,963.13 is: 120,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,974.50 : 82,963.13 = 82,963.13 : x
  2. Step 2: Convert to fraction form
    56,974.50/82,963.13 = 82,963.13/x
  3. Step 3: Cross multiply
    56,974.50x = 82,963.13 × 82,963.13
  4. Step 4: Simplify right side
    56,974.50x = 6,882,880,109.77
  5. Step 5: Solve for x
    x = 6,882,880,109.77/56,974.50
  6. Step 6: Final answer
    x = 120,806.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.