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Finding the Third Proportional to 41,592 and 63,933

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Solution

The third proportional to 41,592 and 63,933 is: 98,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,592 : 63,933 = 63,933 : x
  2. Step 2: Convert to fraction form
    41,592/63,933 = 63,933/x
  3. Step 3: Cross multiply
    41,592x = 63,933 × 63,933
  4. Step 4: Simplify right side
    41,592x = 4,087,428,489
  5. Step 5: Solve for x
    x = 4,087,428,489/41,592
  6. Step 6: Final answer
    x = 98,274.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.