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Finding the Third Proportional to 8,696.74 and 19,084.99

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Solution

The third proportional to 8,696.74 and 19,084.99 is: 41,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.74 : 19,084.99 = 19,084.99 : x
  2. Step 2: Convert to fraction form
    8,696.74/19,084.99 = 19,084.99/x
  3. Step 3: Cross multiply
    8,696.74x = 19,084.99 × 19,084.99
  4. Step 4: Simplify right side
    8,696.74x = 364,236,926.80
  5. Step 5: Solve for x
    x = 364,236,926.80/8,696.74
  6. Step 6: Final answer
    x = 41,882.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.