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Finding the Third Proportional to 8,547 and 12,846

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Solution

The third proportional to 8,547 and 12,846 is: 19,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547 : 12,846 = 12,846 : x
  2. Step 2: Convert to fraction form
    8,547/12,846 = 12,846/x
  3. Step 3: Cross multiply
    8,547x = 12,846 × 12,846
  4. Step 4: Simplify right side
    8,547x = 165,019,716
  5. Step 5: Solve for x
    x = 165,019,716/8,547
  6. Step 6: Final answer
    x = 19,307.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.