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Finding the Third Proportional to 34,870.50 and 52,633.50

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Solution

The third proportional to 34,870.50 and 52,633.50 is: 79,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,870.50 : 52,633.50 = 52,633.50 : x
  2. Step 2: Convert to fraction form
    34,870.50/52,633.50 = 52,633.50/x
  3. Step 3: Cross multiply
    34,870.50x = 52,633.50 × 52,633.50
  4. Step 4: Simplify right side
    34,870.50x = 2,770,285,322.25
  5. Step 5: Solve for x
    x = 2,770,285,322.25/34,870.50
  6. Step 6: Final answer
    x = 79,444.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.