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Finding the Third Proportional to 34,645 and 55,796

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Solution

The third proportional to 34,645 and 55,796 is: 89,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645 : 55,796 = 55,796 : x
  2. Step 2: Convert to fraction form
    34,645/55,796 = 55,796/x
  3. Step 3: Cross multiply
    34,645x = 55,796 × 55,796
  4. Step 4: Simplify right side
    34,645x = 3,113,193,616
  5. Step 5: Solve for x
    x = 3,113,193,616/34,645
  6. Step 6: Final answer
    x = 89,859.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.