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Finding the Third Proportional to 7,364.50 and 15,965

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Solution

The third proportional to 7,364.50 and 15,965 is: 34,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.50 : 15,965 = 15,965 : x
  2. Step 2: Convert to fraction form
    7,364.50/15,965 = 15,965/x
  3. Step 3: Cross multiply
    7,364.50x = 15,965 × 15,965
  4. Step 4: Simplify right side
    7,364.50x = 254,881,225
  5. Step 5: Solve for x
    x = 254,881,225/7,364.50
  6. Step 6: Final answer
    x = 34,609.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.