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Finding the Third Proportional to 26,905 and 56,886

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Solution

The third proportional to 26,905 and 56,886 is: 120,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,905 : 56,886 = 56,886 : x
  2. Step 2: Convert to fraction form
    26,905/56,886 = 56,886/x
  3. Step 3: Cross multiply
    26,905x = 56,886 × 56,886
  4. Step 4: Simplify right side
    26,905x = 3,236,016,996
  5. Step 5: Solve for x
    x = 3,236,016,996/26,905
  6. Step 6: Final answer
    x = 120,275.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.