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Finding the Third Proportional to 49,383 and 74,505

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Solution

The third proportional to 49,383 and 74,505 is: 112,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383 : 74,505 = 74,505 : x
  2. Step 2: Convert to fraction form
    49,383/74,505 = 74,505/x
  3. Step 3: Cross multiply
    49,383x = 74,505 × 74,505
  4. Step 4: Simplify right side
    49,383x = 5,550,995,025
  5. Step 5: Solve for x
    x = 5,550,995,025/49,383
  6. Step 6: Final answer
    x = 112,407.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.