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Finding the Third Proportional to 49,824 and 75,659

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Solution

The third proportional to 49,824 and 75,659 is: 114,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,824 : 75,659 = 75,659 : x
  2. Step 2: Convert to fraction form
    49,824/75,659 = 75,659/x
  3. Step 3: Cross multiply
    49,824x = 75,659 × 75,659
  4. Step 4: Simplify right side
    49,824x = 5,724,284,281
  5. Step 5: Solve for x
    x = 5,724,284,281/49,824
  6. Step 6: Final answer
    x = 114,890.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.