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Finding the Third Proportional to 8,599.50 and 9,504

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Solution

The third proportional to 8,599.50 and 9,504 is: 10,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.50 : 9,504 = 9,504 : x
  2. Step 2: Convert to fraction form
    8,599.50/9,504 = 9,504/x
  3. Step 3: Cross multiply
    8,599.50x = 9,504 × 9,504
  4. Step 4: Simplify right side
    8,599.50x = 90,326,016
  5. Step 5: Solve for x
    x = 90,326,016/8,599.50
  6. Step 6: Final answer
    x = 10,503.64

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.