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Finding the Third Proportional to 30,707 and 48,829

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Solution

The third proportional to 30,707 and 48,829 is: 77,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707 : 48,829 = 48,829 : x
  2. Step 2: Convert to fraction form
    30,707/48,829 = 48,829/x
  3. Step 3: Cross multiply
    30,707x = 48,829 × 48,829
  4. Step 4: Simplify right side
    30,707x = 2,384,271,241
  5. Step 5: Solve for x
    x = 2,384,271,241/30,707
  6. Step 6: Final answer
    x = 77,645.85

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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.