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Finding the Third Proportional to 28,746.75 and 61,865.25

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Solution

The third proportional to 28,746.75 and 61,865.25 is: 133,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,746.75 : 61,865.25 = 61,865.25 : x
  2. Step 2: Convert to fraction form
    28,746.75/61,865.25 = 61,865.25/x
  3. Step 3: Cross multiply
    28,746.75x = 61,865.25 × 61,865.25
  4. Step 4: Simplify right side
    28,746.75x = 3,827,309,157.56
  5. Step 5: Solve for x
    x = 3,827,309,157.56/28,746.75
  6. Step 6: Final answer
    x = 133,138.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.