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Finding the Third Proportional to 41,806.50 and 89,283

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Solution

The third proportional to 41,806.50 and 89,283 is: 190,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,806.50 : 89,283 = 89,283 : x
  2. Step 2: Convert to fraction form
    41,806.50/89,283 = 89,283/x
  3. Step 3: Cross multiply
    41,806.50x = 89,283 × 89,283
  4. Step 4: Simplify right side
    41,806.50x = 7,971,454,089
  5. Step 5: Solve for x
    x = 7,971,454,089/41,806.50
  6. Step 6: Final answer
    x = 190,674.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.