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Finding the Third Proportional to 1,704.66 and 3,725.72

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Solution

The third proportional to 1,704.66 and 3,725.72 is: 8,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.66 : 3,725.72 = 3,725.72 : x
  2. Step 2: Convert to fraction form
    1,704.66/3,725.72 = 3,725.72/x
  3. Step 3: Cross multiply
    1,704.66x = 3,725.72 × 3,725.72
  4. Step 4: Simplify right side
    1,704.66x = 13,880,980.20
  5. Step 5: Solve for x
    x = 13,880,980.20/1,704.66
  6. Step 6: Final answer
    x = 8,142.98

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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.