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Finding the Third Proportional to 30,944 and 48,264

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Solution

The third proportional to 30,944 and 48,264 is: 75,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944 : 48,264 = 48,264 : x
  2. Step 2: Convert to fraction form
    30,944/48,264 = 48,264/x
  3. Step 3: Cross multiply
    30,944x = 48,264 × 48,264
  4. Step 4: Simplify right side
    30,944x = 2,329,413,696
  5. Step 5: Solve for x
    x = 2,329,413,696/30,944
  6. Step 6: Final answer
    x = 75,278.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.