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Finding the Third Proportional to 5,703.94 and 8,532.56

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Solution

The third proportional to 5,703.94 and 8,532.56 is: 12,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.94 : 8,532.56 = 8,532.56 : x
  2. Step 2: Convert to fraction form
    5,703.94/8,532.56 = 8,532.56/x
  3. Step 3: Cross multiply
    5,703.94x = 8,532.56 × 8,532.56
  4. Step 4: Simplify right side
    5,703.94x = 72,804,622.82
  5. Step 5: Solve for x
    x = 72,804,622.82/5,703.94
  6. Step 6: Final answer
    x = 12,763.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.