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Finding the Third Proportional to 30,706 and 48,828

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Solution

The third proportional to 30,706 and 48,828 is: 77,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706 : 48,828 = 48,828 : x
  2. Step 2: Convert to fraction form
    30,706/48,828 = 48,828/x
  3. Step 3: Cross multiply
    30,706x = 48,828 × 48,828
  4. Step 4: Simplify right side
    30,706x = 2,384,173,584
  5. Step 5: Solve for x
    x = 2,384,173,584/30,706
  6. Step 6: Final answer
    x = 77,645.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.