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Finding the Third Proportional to 9,997.17 and 12,915.07

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Solution

The third proportional to 9,997.17 and 12,915.07 is: 16,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.17 : 12,915.07 = 12,915.07 : x
  2. Step 2: Convert to fraction form
    9,997.17/12,915.07 = 12,915.07/x
  3. Step 3: Cross multiply
    9,997.17x = 12,915.07 × 12,915.07
  4. Step 4: Simplify right side
    9,997.17x = 166,799,041.18
  5. Step 5: Solve for x
    x = 166,799,041.18/9,997.17
  6. Step 6: Final answer
    x = 16,684.62

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.