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Finding the Third Proportional to 41,578 and 63,904

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Solution

The third proportional to 41,578 and 63,904 is: 98,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,578 : 63,904 = 63,904 : x
  2. Step 2: Convert to fraction form
    41,578/63,904 = 63,904/x
  3. Step 3: Cross multiply
    41,578x = 63,904 × 63,904
  4. Step 4: Simplify right side
    41,578x = 4,083,721,216
  5. Step 5: Solve for x
    x = 4,083,721,216/41,578
  6. Step 6: Final answer
    x = 98,218.32

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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.