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Finding the Third Proportional to 34,654 and 55,810

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Solution

The third proportional to 34,654 and 55,810 is: 89,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654 : 55,810 = 55,810 : x
  2. Step 2: Convert to fraction form
    34,654/55,810 = 55,810/x
  3. Step 3: Cross multiply
    34,654x = 55,810 × 55,810
  4. Step 4: Simplify right side
    34,654x = 3,114,756,100
  5. Step 5: Solve for x
    x = 3,114,756,100/34,654
  6. Step 6: Final answer
    x = 89,881.57

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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.