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Finding the Third Proportional to 5,009.63 and 7,120.69

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Solution

The third proportional to 5,009.63 and 7,120.69 is: 10,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.63 : 7,120.69 = 7,120.69 : x
  2. Step 2: Convert to fraction form
    5,009.63/7,120.69 = 7,120.69/x
  3. Step 3: Cross multiply
    5,009.63x = 7,120.69 × 7,120.69
  4. Step 4: Simplify right side
    5,009.63x = 50,704,190.47
  5. Step 5: Solve for x
    x = 50,704,190.47/5,009.63
  6. Step 6: Final answer
    x = 10,121.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.