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Finding the Third Proportional to 34,962 and 55,600.50

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Solution

The third proportional to 34,962 and 55,600.50 is: 88,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,962 : 55,600.50 = 55,600.50 : x
  2. Step 2: Convert to fraction form
    34,962/55,600.50 = 55,600.50/x
  3. Step 3: Cross multiply
    34,962x = 55,600.50 × 55,600.50
  4. Step 4: Simplify right side
    34,962x = 3,091,415,600.25
  5. Step 5: Solve for x
    x = 3,091,415,600.25/34,962
  6. Step 6: Final answer
    x = 88,422.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.