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Finding the Third Proportional to 34,123.50 and 52,643.25

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Solution

The third proportional to 34,123.50 and 52,643.25 is: 81,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,123.50 : 52,643.25 = 52,643.25 : x
  2. Step 2: Convert to fraction form
    34,123.50/52,643.25 = 52,643.25/x
  3. Step 3: Cross multiply
    34,123.50x = 52,643.25 × 52,643.25
  4. Step 4: Simplify right side
    34,123.50x = 2,771,311,770.56
  5. Step 5: Solve for x
    x = 2,771,311,770.56/34,123.50
  6. Step 6: Final answer
    x = 81,214.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.