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Finding the Third Proportional to 28,682 and 62,905

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Solution

The third proportional to 28,682 and 62,905 is: 137,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,682 : 62,905 = 62,905 : x
  2. Step 2: Convert to fraction form
    28,682/62,905 = 62,905/x
  3. Step 3: Cross multiply
    28,682x = 62,905 × 62,905
  4. Step 4: Simplify right side
    28,682x = 3,957,039,025
  5. Step 5: Solve for x
    x = 3,957,039,025/28,682
  6. Step 6: Final answer
    x = 137,962.45

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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.