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Finding the Third Proportional to 48,515.63 and 77,147.44

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Solution

The third proportional to 48,515.63 and 77,147.44 is: 122,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,515.63 : 77,147.44 = 77,147.44 : x
  2. Step 2: Convert to fraction form
    48,515.63/77,147.44 = 77,147.44/x
  3. Step 3: Cross multiply
    48,515.63x = 77,147.44 × 77,147.44
  4. Step 4: Simplify right side
    48,515.63x = 5,951,727,112.82
  5. Step 5: Solve for x
    x = 5,951,727,112.82/48,515.63
  6. Step 6: Final answer
    x = 122,676.50

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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.