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Finding the Third Proportional to 49,070.44 and 77,829.56

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Solution

The third proportional to 49,070.44 and 77,829.56 is: 123,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,070.44 : 77,829.56 = 77,829.56 : x
  2. Step 2: Convert to fraction form
    49,070.44/77,829.56 = 77,829.56/x
  3. Step 3: Cross multiply
    49,070.44x = 77,829.56 × 77,829.56
  4. Step 4: Simplify right side
    49,070.44x = 6,057,440,798.94
  5. Step 5: Solve for x
    x = 6,057,440,798.94/49,070.44
  6. Step 6: Final answer
    x = 123,443.79

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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.