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Finding the Third Proportional to 49,830 and 74,607

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Solution

The third proportional to 49,830 and 74,607 is: 111,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830 : 74,607 = 74,607 : x
  2. Step 2: Convert to fraction form
    49,830/74,607 = 74,607/x
  3. Step 3: Cross multiply
    49,830x = 74,607 × 74,607
  4. Step 4: Simplify right side
    49,830x = 5,566,204,449
  5. Step 5: Solve for x
    x = 5,566,204,449/49,830
  6. Step 6: Final answer
    x = 111,703.88

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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.