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Finding the Third Proportional to 38,990 and 56,905.50

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Solution

The third proportional to 38,990 and 56,905.50 is: 83,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,990 : 56,905.50 = 56,905.50 : x
  2. Step 2: Convert to fraction form
    38,990/56,905.50 = 56,905.50/x
  3. Step 3: Cross multiply
    38,990x = 56,905.50 × 56,905.50
  4. Step 4: Simplify right side
    38,990x = 3,238,235,930.25
  5. Step 5: Solve for x
    x = 3,238,235,930.25/38,990
  6. Step 6: Final answer
    x = 83,052.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.