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Finding the Third Proportional to 11,547 and 27,180

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Solution

The third proportional to 11,547 and 27,180 is: 63,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 27,180 = 27,180 : x
  2. Step 2: Convert to fraction form
    11,547/27,180 = 27,180/x
  3. Step 3: Cross multiply
    11,547x = 27,180 × 27,180
  4. Step 4: Simplify right side
    11,547x = 738,752,400
  5. Step 5: Solve for x
    x = 738,752,400/11,547
  6. Step 6: Final answer
    x = 63,977.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.