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Finding the Third Proportional to 30,976 and 48,032

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Solution

The third proportional to 30,976 and 48,032 is: 74,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976 : 48,032 = 48,032 : x
  2. Step 2: Convert to fraction form
    30,976/48,032 = 48,032/x
  3. Step 3: Cross multiply
    30,976x = 48,032 × 48,032
  4. Step 4: Simplify right side
    30,976x = 2,307,073,024
  5. Step 5: Solve for x
    x = 2,307,073,024/30,976
  6. Step 6: Final answer
    x = 74,479.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.