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Finding the Third Proportional to 8,953.50 and 19,696.50

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Solution

The third proportional to 8,953.50 and 19,696.50 is: 43,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.50 : 19,696.50 = 19,696.50 : x
  2. Step 2: Convert to fraction form
    8,953.50/19,696.50 = 19,696.50/x
  3. Step 3: Cross multiply
    8,953.50x = 19,696.50 × 19,696.50
  4. Step 4: Simplify right side
    8,953.50x = 387,952,112.25
  5. Step 5: Solve for x
    x = 387,952,112.25/8,953.50
  6. Step 6: Final answer
    x = 43,329.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.