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Finding the Third Proportional to 30,752 and 48,950

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Solution

The third proportional to 30,752 and 48,950 is: 77,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752 : 48,950 = 48,950 : x
  2. Step 2: Convert to fraction form
    30,752/48,950 = 48,950/x
  3. Step 3: Cross multiply
    30,752x = 48,950 × 48,950
  4. Step 4: Simplify right side
    30,752x = 2,396,102,500
  5. Step 5: Solve for x
    x = 2,396,102,500/30,752
  6. Step 6: Final answer
    x = 77,916.96

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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.