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Finding the Third Proportional to 8,583.75 and 9,501.75

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Solution

The third proportional to 8,583.75 and 9,501.75 is: 10,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.75 : 9,501.75 = 9,501.75 : x
  2. Step 2: Convert to fraction form
    8,583.75/9,501.75 = 9,501.75/x
  3. Step 3: Cross multiply
    8,583.75x = 9,501.75 × 9,501.75
  4. Step 4: Simplify right side
    8,583.75x = 90,283,253.06
  5. Step 5: Solve for x
    x = 90,283,253.06/8,583.75
  6. Step 6: Final answer
    x = 10,517.93

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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.