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Finding the Third Proportional to 30,273.75 and 56,720.25

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Solution

The third proportional to 30,273.75 and 56,720.25 is: 106,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,273.75 : 56,720.25 = 56,720.25 : x
  2. Step 2: Convert to fraction form
    30,273.75/56,720.25 = 56,720.25/x
  3. Step 3: Cross multiply
    30,273.75x = 56,720.25 × 56,720.25
  4. Step 4: Simplify right side
    30,273.75x = 3,217,186,760.06
  5. Step 5: Solve for x
    x = 3,217,186,760.06/30,273.75
  6. Step 6: Final answer
    x = 106,269.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.