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Finding the Third Proportional to 28,783 and 62,800

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Solution

The third proportional to 28,783 and 62,800 is: 137,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,783 : 62,800 = 62,800 : x
  2. Step 2: Convert to fraction form
    28,783/62,800 = 62,800/x
  3. Step 3: Cross multiply
    28,783x = 62,800 × 62,800
  4. Step 4: Simplify right side
    28,783x = 3,943,840,000
  5. Step 5: Solve for x
    x = 3,943,840,000/28,783
  6. Step 6: Final answer
    x = 137,019.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.