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Finding the Third Proportional to 49,852 and 74,346

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Solution

The third proportional to 49,852 and 74,346 is: 110,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852 : 74,346 = 74,346 : x
  2. Step 2: Convert to fraction form
    49,852/74,346 = 74,346/x
  3. Step 3: Cross multiply
    49,852x = 74,346 × 74,346
  4. Step 4: Simplify right side
    49,852x = 5,527,327,716
  5. Step 5: Solve for x
    x = 5,527,327,716/49,852
  6. Step 6: Final answer
    x = 110,874.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.