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Finding the Third Proportional to 2,547 and 5,479

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Solution

The third proportional to 2,547 and 5,479 is: 11,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 5,479 = 5,479 : x
  2. Step 2: Convert to fraction form
    2,547/5,479 = 5,479/x
  3. Step 3: Cross multiply
    2,547x = 5,479 × 5,479
  4. Step 4: Simplify right side
    2,547x = 30,019,441
  5. Step 5: Solve for x
    x = 30,019,441/2,547
  6. Step 6: Final answer
    x = 11,786.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.