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Finding the Third Proportional to 12,696.75 and 20,057.63

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Solution

The third proportional to 12,696.75 and 20,057.63 is: 31,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.75 : 20,057.63 = 20,057.63 : x
  2. Step 2: Convert to fraction form
    12,696.75/20,057.63 = 20,057.63/x
  3. Step 3: Cross multiply
    12,696.75x = 20,057.63 × 20,057.63
  4. Step 4: Simplify right side
    12,696.75x = 402,308,320.64
  5. Step 5: Solve for x
    x = 402,308,320.64/12,696.75
  6. Step 6: Final answer
    x = 31,685.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.