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Finding the Third Proportional to 7,579.13 and 8,672.63

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Solution

The third proportional to 7,579.13 and 8,672.63 is: 9,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579.13 : 8,672.63 = 8,672.63 : x
  2. Step 2: Convert to fraction form
    7,579.13/8,672.63 = 8,672.63/x
  3. Step 3: Cross multiply
    7,579.13x = 8,672.63 × 8,672.63
  4. Step 4: Simplify right side
    7,579.13x = 75,214,424.39
  5. Step 5: Solve for x
    x = 75,214,424.39/7,579.13
  6. Step 6: Final answer
    x = 9,923.89

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.