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Finding the Third Proportional to 8,226 and 11,547

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Solution

The third proportional to 8,226 and 11,547 is: 16,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 11,547 = 11,547 : x
  2. Step 2: Convert to fraction form
    8,226/11,547 = 11,547/x
  3. Step 3: Cross multiply
    8,226x = 11,547 × 11,547
  4. Step 4: Simplify right side
    8,226x = 133,333,209
  5. Step 5: Solve for x
    x = 133,333,209/8,226
  6. Step 6: Final answer
    x = 16,208.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.