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Finding the Third Proportional to 26,164 and 39,478

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Solution

The third proportional to 26,164 and 39,478 is: 59,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164 : 39,478 = 39,478 : x
  2. Step 2: Convert to fraction form
    26,164/39,478 = 39,478/x
  3. Step 3: Cross multiply
    26,164x = 39,478 × 39,478
  4. Step 4: Simplify right side
    26,164x = 1,558,512,484
  5. Step 5: Solve for x
    x = 1,558,512,484/26,164
  6. Step 6: Final answer
    x = 59,567.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.