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Finding the Third Proportional to 49,668 and 63,772

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Solution

The third proportional to 49,668 and 63,772 is: 81,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,668 : 63,772 = 63,772 : x
  2. Step 2: Convert to fraction form
    49,668/63,772 = 63,772/x
  3. Step 3: Cross multiply
    49,668x = 63,772 × 63,772
  4. Step 4: Simplify right side
    49,668x = 4,066,867,984
  5. Step 5: Solve for x
    x = 4,066,867,984/49,668
  6. Step 6: Final answer
    x = 81,881.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.