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Finding the Third Proportional to 29,220.75 and 56,983.50

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Solution

The third proportional to 29,220.75 and 56,983.50 is: 111,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,220.75 : 56,983.50 = 56,983.50 : x
  2. Step 2: Convert to fraction form
    29,220.75/56,983.50 = 56,983.50/x
  3. Step 3: Cross multiply
    29,220.75x = 56,983.50 × 56,983.50
  4. Step 4: Simplify right side
    29,220.75x = 3,247,119,272.25
  5. Step 5: Solve for x
    x = 3,247,119,272.25/29,220.75
  6. Step 6: Final answer
    x = 111,123.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.