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Finding the Third Proportional to 30,938 and 48,255

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Solution

The third proportional to 30,938 and 48,255 is: 75,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938 : 48,255 = 48,255 : x
  2. Step 2: Convert to fraction form
    30,938/48,255 = 48,255/x
  3. Step 3: Cross multiply
    30,938x = 48,255 × 48,255
  4. Step 4: Simplify right side
    30,938x = 2,328,545,025
  5. Step 5: Solve for x
    x = 2,328,545,025/30,938
  6. Step 6: Final answer
    x = 75,264.89

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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.