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Finding the Third Proportional to 26,375 and 46,904

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Solution

The third proportional to 26,375 and 46,904 is: 83,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,375 : 46,904 = 46,904 : x
  2. Step 2: Convert to fraction form
    26,375/46,904 = 46,904/x
  3. Step 3: Cross multiply
    26,375x = 46,904 × 46,904
  4. Step 4: Simplify right side
    26,375x = 2,199,985,216
  5. Step 5: Solve for x
    x = 2,199,985,216/26,375
  6. Step 6: Final answer
    x = 83,411.76

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.