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Finding the Third Proportional to 34,776 and 75,760

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Solution

The third proportional to 34,776 and 75,760 is: 165,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776 : 75,760 = 75,760 : x
  2. Step 2: Convert to fraction form
    34,776/75,760 = 75,760/x
  3. Step 3: Cross multiply
    34,776x = 75,760 × 75,760
  4. Step 4: Simplify right side
    34,776x = 5,739,577,600
  5. Step 5: Solve for x
    x = 5,739,577,600/34,776
  6. Step 6: Final answer
    x = 165,044.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.