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Finding the Third Proportional to 30,472.88 and 48,661.31

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Solution

The third proportional to 30,472.88 and 48,661.31 is: 77,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.88 : 48,661.31 = 48,661.31 : x
  2. Step 2: Convert to fraction form
    30,472.88/48,661.31 = 48,661.31/x
  3. Step 3: Cross multiply
    30,472.88x = 48,661.31 × 48,661.31
  4. Step 4: Simplify right side
    30,472.88x = 2,367,923,334.22
  5. Step 5: Solve for x
    x = 2,367,923,334.22/30,472.88
  6. Step 6: Final answer
    x = 77,705.94

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