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Finding the Third Proportional to 28,350 and 65,772

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Solution

The third proportional to 28,350 and 65,772 is: 152,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,350 : 65,772 = 65,772 : x
  2. Step 2: Convert to fraction form
    28,350/65,772 = 65,772/x
  3. Step 3: Cross multiply
    28,350x = 65,772 × 65,772
  4. Step 4: Simplify right side
    28,350x = 4,325,955,984
  5. Step 5: Solve for x
    x = 4,325,955,984/28,350
  6. Step 6: Final answer
    x = 152,591.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.