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Finding the Third Proportional to 49,764 and 74,614

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Solution

The third proportional to 49,764 and 74,614 is: 111,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764 : 74,614 = 74,614 : x
  2. Step 2: Convert to fraction form
    49,764/74,614 = 74,614/x
  3. Step 3: Cross multiply
    49,764x = 74,614 × 74,614
  4. Step 4: Simplify right side
    49,764x = 5,567,248,996
  5. Step 5: Solve for x
    x = 5,567,248,996/49,764
  6. Step 6: Final answer
    x = 111,873.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.