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Finding the Third Proportional to 8,693 and 9,509

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Solution

The third proportional to 8,693 and 9,509 is: 10,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693 : 9,509 = 9,509 : x
  2. Step 2: Convert to fraction form
    8,693/9,509 = 9,509/x
  3. Step 3: Cross multiply
    8,693x = 9,509 × 9,509
  4. Step 4: Simplify right side
    8,693x = 90,421,081
  5. Step 5: Solve for x
    x = 90,421,081/8,693
  6. Step 6: Final answer
    x = 10,401.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.