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Finding the Third Proportional to 8,685.56 and 9,900.56

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Solution

The third proportional to 8,685.56 and 9,900.56 is: 11,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.56 : 9,900.56 = 9,900.56 : x
  2. Step 2: Convert to fraction form
    8,685.56/9,900.56 = 9,900.56/x
  3. Step 3: Cross multiply
    8,685.56x = 9,900.56 × 9,900.56
  4. Step 4: Simplify right side
    8,685.56x = 98,021,137.82
  5. Step 5: Solve for x
    x = 98,021,137.82/8,685.56
  6. Step 6: Final answer
    x = 11,285.53

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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.