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Finding the Third Proportional to 3,123.56 and 4,986.56

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Solution

The third proportional to 3,123.56 and 4,986.56 is: 7,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.56 : 4,986.56 = 4,986.56 : x
  2. Step 2: Convert to fraction form
    3,123.56/4,986.56 = 4,986.56/x
  3. Step 3: Cross multiply
    3,123.56x = 4,986.56 × 4,986.56
  4. Step 4: Simplify right side
    3,123.56x = 24,865,805.57
  5. Step 5: Solve for x
    x = 24,865,805.57/3,123.56
  6. Step 6: Final answer
    x = 7,960.72

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.