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Finding the Third Proportional to 7,599 and 11,596.50

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Solution

The third proportional to 7,599 and 11,596.50 is: 17,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599 : 11,596.50 = 11,596.50 : x
  2. Step 2: Convert to fraction form
    7,599/11,596.50 = 11,596.50/x
  3. Step 3: Cross multiply
    7,599x = 11,596.50 × 11,596.50
  4. Step 4: Simplify right side
    7,599x = 134,478,812.25
  5. Step 5: Solve for x
    x = 134,478,812.25/7,599
  6. Step 6: Final answer
    x = 17,696.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.