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Finding the Third Proportional to 41,583.09 and 63,621.84

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Solution

The third proportional to 41,583.09 and 63,621.84 is: 97,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583.09 : 63,621.84 = 63,621.84 : x
  2. Step 2: Convert to fraction form
    41,583.09/63,621.84 = 63,621.84/x
  3. Step 3: Cross multiply
    41,583.09x = 63,621.84 × 63,621.84
  4. Step 4: Simplify right side
    41,583.09x = 4,047,739,002.15
  5. Step 5: Solve for x
    x = 4,047,739,002.15/41,583.09
  6. Step 6: Final answer
    x = 97,340.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.