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Finding the Third Proportional to 26,630 and 41,773

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Solution

The third proportional to 26,630 and 41,773 is: 65,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,630 : 41,773 = 41,773 : x
  2. Step 2: Convert to fraction form
    26,630/41,773 = 41,773/x
  3. Step 3: Cross multiply
    26,630x = 41,773 × 41,773
  4. Step 4: Simplify right side
    26,630x = 1,744,983,529
  5. Step 5: Solve for x
    x = 1,744,983,529/26,630
  6. Step 6: Final answer
    x = 65,526.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.