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Finding the Third Proportional to 7,664.63 and 8,874.56

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Solution

The third proportional to 7,664.63 and 8,874.56 is: 10,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.63 : 8,874.56 = 8,874.56 : x
  2. Step 2: Convert to fraction form
    7,664.63/8,874.56 = 8,874.56/x
  3. Step 3: Cross multiply
    7,664.63x = 8,874.56 × 8,874.56
  4. Step 4: Simplify right side
    7,664.63x = 78,757,859.57
  5. Step 5: Solve for x
    x = 78,757,859.57/7,664.63
  6. Step 6: Final answer
    x = 10,275.50

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.