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Finding the Third Proportional to 8,253 and 19,461.38

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Solution

The third proportional to 8,253 and 19,461.38 is: 45,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253 : 19,461.38 = 19,461.38 : x
  2. Step 2: Convert to fraction form
    8,253/19,461.38 = 19,461.38/x
  3. Step 3: Cross multiply
    8,253x = 19,461.38 × 19,461.38
  4. Step 4: Simplify right side
    8,253x = 378,745,116.89
  5. Step 5: Solve for x
    x = 378,745,116.89/8,253
  6. Step 6: Final answer
    x = 45,891.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.