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Finding the Third Proportional to 34,267.50 and 53,709.75

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Solution

The third proportional to 34,267.50 and 53,709.75 is: 84,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,267.50 : 53,709.75 = 53,709.75 : x
  2. Step 2: Convert to fraction form
    34,267.50/53,709.75 = 53,709.75/x
  3. Step 3: Cross multiply
    34,267.50x = 53,709.75 × 53,709.75
  4. Step 4: Simplify right side
    34,267.50x = 2,884,737,245.06
  5. Step 5: Solve for x
    x = 2,884,737,245.06/34,267.50
  6. Step 6: Final answer
    x = 84,182.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.