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Finding the Third Proportional to 7,476.89 and 16,191.56

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Solution

The third proportional to 7,476.89 and 16,191.56 is: 35,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.89 : 16,191.56 = 16,191.56 : x
  2. Step 2: Convert to fraction form
    7,476.89/16,191.56 = 16,191.56/x
  3. Step 3: Cross multiply
    7,476.89x = 16,191.56 × 16,191.56
  4. Step 4: Simplify right side
    7,476.89x = 262,166,696.19
  5. Step 5: Solve for x
    x = 262,166,696.19/7,476.89
  6. Step 6: Final answer
    x = 35,063.60

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Why These Related Problems?

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