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Finding the Third Proportional to 51,673.78 and 77,511.09

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Solution

The third proportional to 51,673.78 and 77,511.09 is: 116,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,673.78 : 77,511.09 = 77,511.09 : x
  2. Step 2: Convert to fraction form
    51,673.78/77,511.09 = 77,511.09/x
  3. Step 3: Cross multiply
    51,673.78x = 77,511.09 × 77,511.09
  4. Step 4: Simplify right side
    51,673.78x = 6,007,969,654.32
  5. Step 5: Solve for x
    x = 6,007,969,654.32/51,673.78
  6. Step 6: Final answer
    x = 116,267.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.