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Finding the Third Proportional to 48,036.50 and 76,739.50

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Solution

The third proportional to 48,036.50 and 76,739.50 is: 122,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,036.50 : 76,739.50 = 76,739.50 : x
  2. Step 2: Convert to fraction form
    48,036.50/76,739.50 = 76,739.50/x
  3. Step 3: Cross multiply
    48,036.50x = 76,739.50 × 76,739.50
  4. Step 4: Simplify right side
    48,036.50x = 5,888,950,860.25
  5. Step 5: Solve for x
    x = 5,888,950,860.25/48,036.50
  6. Step 6: Final answer
    x = 122,593.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.