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Finding the Third Proportional to 28,767 and 62,763

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Solution

The third proportional to 28,767 and 62,763 is: 136,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,767 : 62,763 = 62,763 : x
  2. Step 2: Convert to fraction form
    28,767/62,763 = 62,763/x
  3. Step 3: Cross multiply
    28,767x = 62,763 × 62,763
  4. Step 4: Simplify right side
    28,767x = 3,939,194,169
  5. Step 5: Solve for x
    x = 3,939,194,169/28,767
  6. Step 6: Final answer
    x = 136,934.48

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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.