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Finding the Third Proportional to 7,102.90 and 10,516.92

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Solution

The third proportional to 7,102.90 and 10,516.92 is: 15,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.90 : 10,516.92 = 10,516.92 : x
  2. Step 2: Convert to fraction form
    7,102.90/10,516.92 = 10,516.92/x
  3. Step 3: Cross multiply
    7,102.90x = 10,516.92 × 10,516.92
  4. Step 4: Simplify right side
    7,102.90x = 110,605,645.72
  5. Step 5: Solve for x
    x = 110,605,645.72/7,102.90
  6. Step 6: Final answer
    x = 15,571.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.