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Finding the Third Proportional to 8,117 and 9,323

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Solution

The third proportional to 8,117 and 9,323 is: 10,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117 : 9,323 = 9,323 : x
  2. Step 2: Convert to fraction form
    8,117/9,323 = 9,323/x
  3. Step 3: Cross multiply
    8,117x = 9,323 × 9,323
  4. Step 4: Simplify right side
    8,117x = 86,918,329
  5. Step 5: Solve for x
    x = 86,918,329/8,117
  6. Step 6: Final answer
    x = 10,708.18

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.