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Finding the Third Proportional to 26,416 and 38,838

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Solution

The third proportional to 26,416 and 38,838 is: 57,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416 : 38,838 = 38,838 : x
  2. Step 2: Convert to fraction form
    26,416/38,838 = 38,838/x
  3. Step 3: Cross multiply
    26,416x = 38,838 × 38,838
  4. Step 4: Simplify right side
    26,416x = 1,508,390,244
  5. Step 5: Solve for x
    x = 1,508,390,244/26,416
  6. Step 6: Final answer
    x = 57,101.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.