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Finding the Third Proportional to 33,826.50 and 45,636.75

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Solution

The third proportional to 33,826.50 and 45,636.75 is: 61,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,826.50 : 45,636.75 = 45,636.75 : x
  2. Step 2: Convert to fraction form
    33,826.50/45,636.75 = 45,636.75/x
  3. Step 3: Cross multiply
    33,826.50x = 45,636.75 × 45,636.75
  4. Step 4: Simplify right side
    33,826.50x = 2,082,712,950.56
  5. Step 5: Solve for x
    x = 2,082,712,950.56/33,826.50
  6. Step 6: Final answer
    x = 61,570.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.