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Finding the Third Proportional to 5,931.98 and 12,734.72

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Solution

The third proportional to 5,931.98 and 12,734.72 is: 27,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.98 : 12,734.72 = 12,734.72 : x
  2. Step 2: Convert to fraction form
    5,931.98/12,734.72 = 12,734.72/x
  3. Step 3: Cross multiply
    5,931.98x = 12,734.72 × 12,734.72
  4. Step 4: Simplify right side
    5,931.98x = 162,173,061.64
  5. Step 5: Solve for x
    x = 162,173,061.64/5,931.98
  6. Step 6: Final answer
    x = 27,338.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.