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Finding the Third Proportional to 47,990.25 and 76,671

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Solution

The third proportional to 47,990.25 and 76,671 is: 122,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,990.25 : 76,671 = 76,671 : x
  2. Step 2: Convert to fraction form
    47,990.25/76,671 = 76,671/x
  3. Step 3: Cross multiply
    47,990.25x = 76,671 × 76,671
  4. Step 4: Simplify right side
    47,990.25x = 5,878,442,241
  5. Step 5: Solve for x
    x = 5,878,442,241/47,990.25
  6. Step 6: Final answer
    x = 122,492.43

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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.