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Finding the Third Proportional to 27,570 and 59,806

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Solution

The third proportional to 27,570 and 59,806 is: 129,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570 : 59,806 = 59,806 : x
  2. Step 2: Convert to fraction form
    27,570/59,806 = 59,806/x
  3. Step 3: Cross multiply
    27,570x = 59,806 × 59,806
  4. Step 4: Simplify right side
    27,570x = 3,576,757,636
  5. Step 5: Solve for x
    x = 3,576,757,636/27,570
  6. Step 6: Final answer
    x = 129,733.68

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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.