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Finding the Third Proportional to 28,750 and 62,843

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Solution

The third proportional to 28,750 and 62,843 is: 137,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,750 : 62,843 = 62,843 : x
  2. Step 2: Convert to fraction form
    28,750/62,843 = 62,843/x
  3. Step 3: Cross multiply
    28,750x = 62,843 × 62,843
  4. Step 4: Simplify right side
    28,750x = 3,949,242,649
  5. Step 5: Solve for x
    x = 3,949,242,649/28,750
  6. Step 6: Final answer
    x = 137,364.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.