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Finding the Third Proportional to 27,547 and 59,672

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Solution

The third proportional to 27,547 and 59,672 is: 129,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547 : 59,672 = 59,672 : x
  2. Step 2: Convert to fraction form
    27,547/59,672 = 59,672/x
  3. Step 3: Cross multiply
    27,547x = 59,672 × 59,672
  4. Step 4: Simplify right side
    27,547x = 3,560,747,584
  5. Step 5: Solve for x
    x = 3,560,747,584/27,547
  6. Step 6: Final answer
    x = 129,260.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.