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Finding the Third Proportional to 34,636.50 and 53,982

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Solution

The third proportional to 34,636.50 and 53,982 is: 84,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,636.50 : 53,982 = 53,982 : x
  2. Step 2: Convert to fraction form
    34,636.50/53,982 = 53,982/x
  3. Step 3: Cross multiply
    34,636.50x = 53,982 × 53,982
  4. Step 4: Simplify right side
    34,636.50x = 2,914,056,324
  5. Step 5: Solve for x
    x = 2,914,056,324/34,636.50
  6. Step 6: Final answer
    x = 84,132.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.