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Finding the Third Proportional to 7,195 and 10,516.50

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Solution

The third proportional to 7,195 and 10,516.50 is: 15,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195 : 10,516.50 = 10,516.50 : x
  2. Step 2: Convert to fraction form
    7,195/10,516.50 = 10,516.50/x
  3. Step 3: Cross multiply
    7,195x = 10,516.50 × 10,516.50
  4. Step 4: Simplify right side
    7,195x = 110,596,772.25
  5. Step 5: Solve for x
    x = 110,596,772.25/7,195
  6. Step 6: Final answer
    x = 15,371.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.