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Finding the Third Proportional to 49,830 and 77,235.75

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Solution

The third proportional to 49,830 and 77,235.75 is: 119,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830 : 77,235.75 = 77,235.75 : x
  2. Step 2: Convert to fraction form
    49,830/77,235.75 = 77,235.75/x
  3. Step 3: Cross multiply
    49,830x = 77,235.75 × 77,235.75
  4. Step 4: Simplify right side
    49,830x = 5,965,361,078.06
  5. Step 5: Solve for x
    x = 5,965,361,078.06/49,830
  6. Step 6: Final answer
    x = 119,714.25

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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.