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Finding the Third Proportional to 8,696.74 and 13,053.66

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Solution

The third proportional to 8,696.74 and 13,053.66 is: 19,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.74 : 13,053.66 = 13,053.66 : x
  2. Step 2: Convert to fraction form
    8,696.74/13,053.66 = 13,053.66/x
  3. Step 3: Cross multiply
    8,696.74x = 13,053.66 × 13,053.66
  4. Step 4: Simplify right side
    8,696.74x = 170,397,941.49
  5. Step 5: Solve for x
    x = 170,397,941.49/8,696.74
  6. Step 6: Final answer
    x = 19,593.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.