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Finding the Third Proportional to 28,616 and 62,764

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Solution

The third proportional to 28,616 and 62,764 is: 137,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,616 : 62,764 = 62,764 : x
  2. Step 2: Convert to fraction form
    28,616/62,764 = 62,764/x
  3. Step 3: Cross multiply
    28,616x = 62,764 × 62,764
  4. Step 4: Simplify right side
    28,616x = 3,939,319,696
  5. Step 5: Solve for x
    x = 3,939,319,696/28,616
  6. Step 6: Final answer
    x = 137,661.44

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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.