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Finding the Third Proportional to 26,924 and 41,328

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Solution

The third proportional to 26,924 and 41,328 is: 63,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924 : 41,328 = 41,328 : x
  2. Step 2: Convert to fraction form
    26,924/41,328 = 41,328/x
  3. Step 3: Cross multiply
    26,924x = 41,328 × 41,328
  4. Step 4: Simplify right side
    26,924x = 1,708,003,584
  5. Step 5: Solve for x
    x = 1,708,003,584/26,924
  6. Step 6: Final answer
    x = 63,437.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.