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Finding the Third Proportional to 41,402.50 and 89,807

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Solution

The third proportional to 41,402.50 and 89,807 is: 194,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402.50 : 89,807 = 89,807 : x
  2. Step 2: Convert to fraction form
    41,402.50/89,807 = 89,807/x
  3. Step 3: Cross multiply
    41,402.50x = 89,807 × 89,807
  4. Step 4: Simplify right side
    41,402.50x = 8,065,297,249
  5. Step 5: Solve for x
    x = 8,065,297,249/41,402.50
  6. Step 6: Final answer
    x = 194,802.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.