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Finding the Third Proportional to 34,926 and 53,515

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Solution

The third proportional to 34,926 and 53,515 is: 81,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,926 : 53,515 = 53,515 : x
  2. Step 2: Convert to fraction form
    34,926/53,515 = 53,515/x
  3. Step 3: Cross multiply
    34,926x = 53,515 × 53,515
  4. Step 4: Simplify right side
    34,926x = 2,863,855,225
  5. Step 5: Solve for x
    x = 2,863,855,225/34,926
  6. Step 6: Final answer
    x = 81,997.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.