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Finding the Third Proportional to 8,564.63 and 9,455.63

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Solution

The third proportional to 8,564.63 and 9,455.63 is: 10,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.63 : 9,455.63 = 9,455.63 : x
  2. Step 2: Convert to fraction form
    8,564.63/9,455.63 = 9,455.63/x
  3. Step 3: Cross multiply
    8,564.63x = 9,455.63 × 9,455.63
  4. Step 4: Simplify right side
    8,564.63x = 89,408,844.14
  5. Step 5: Solve for x
    x = 89,408,844.14/8,564.63
  6. Step 6: Final answer
    x = 10,439.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.