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Finding the Third Proportional to 8,226.56 and 8,915.06

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Solution

The third proportional to 8,226.56 and 8,915.06 is: 9,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.56 : 8,915.06 = 8,915.06 : x
  2. Step 2: Convert to fraction form
    8,226.56/8,915.06 = 8,915.06/x
  3. Step 3: Cross multiply
    8,226.56x = 8,915.06 × 8,915.06
  4. Step 4: Simplify right side
    8,226.56x = 79,478,339.38
  5. Step 5: Solve for x
    x = 79,478,339.38/8,226.56
  6. Step 6: Final answer
    x = 9,661.18

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.