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Finding the Third Proportional to 27,570 and 43,817

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Solution

The third proportional to 27,570 and 43,817 is: 69,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570 : 43,817 = 43,817 : x
  2. Step 2: Convert to fraction form
    27,570/43,817 = 43,817/x
  3. Step 3: Cross multiply
    27,570x = 43,817 × 43,817
  4. Step 4: Simplify right side
    27,570x = 1,919,929,489
  5. Step 5: Solve for x
    x = 1,919,929,489/27,570
  6. Step 6: Final answer
    x = 69,638.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.