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Finding the Third Proportional to 1,696.78 and 4,573.13

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Solution

The third proportional to 1,696.78 and 4,573.13 is: 12,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.78 : 4,573.13 = 4,573.13 : x
  2. Step 2: Convert to fraction form
    1,696.78/4,573.13 = 4,573.13/x
  3. Step 3: Cross multiply
    1,696.78x = 4,573.13 × 4,573.13
  4. Step 4: Simplify right side
    1,696.78x = 20,913,472.27
  5. Step 5: Solve for x
    x = 20,913,472.27/1,696.78
  6. Step 6: Final answer
    x = 12,325.38

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.