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Finding the Third Proportional to 26,729 and 38,905

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Solution

The third proportional to 26,729 and 38,905 is: 56,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,729 : 38,905 = 38,905 : x
  2. Step 2: Convert to fraction form
    26,729/38,905 = 38,905/x
  3. Step 3: Cross multiply
    26,729x = 38,905 × 38,905
  4. Step 4: Simplify right side
    26,729x = 1,513,599,025
  5. Step 5: Solve for x
    x = 1,513,599,025/26,729
  6. Step 6: Final answer
    x = 56,627.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.