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Finding the Third Proportional to 34,632 and 55,773

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Solution

The third proportional to 34,632 and 55,773 is: 89,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,632 : 55,773 = 55,773 : x
  2. Step 2: Convert to fraction form
    34,632/55,773 = 55,773/x
  3. Step 3: Cross multiply
    34,632x = 55,773 × 55,773
  4. Step 4: Simplify right side
    34,632x = 3,110,627,529
  5. Step 5: Solve for x
    x = 3,110,627,529/34,632
  6. Step 6: Final answer
    x = 89,819.46

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