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Finding the Third Proportional to 49,296 and 76,473

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Solution

The third proportional to 49,296 and 76,473 is: 118,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296 : 76,473 = 76,473 : x
  2. Step 2: Convert to fraction form
    49,296/76,473 = 76,473/x
  3. Step 3: Cross multiply
    49,296x = 76,473 × 76,473
  4. Step 4: Simplify right side
    49,296x = 5,848,119,729
  5. Step 5: Solve for x
    x = 5,848,119,729/49,296
  6. Step 6: Final answer
    x = 118,632.74

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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.