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Finding the Third Proportional to 1,701 and 4,152.09

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Solution

The third proportional to 1,701 and 4,152.09 is: 10,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701 : 4,152.09 = 4,152.09 : x
  2. Step 2: Convert to fraction form
    1,701/4,152.09 = 4,152.09/x
  3. Step 3: Cross multiply
    1,701x = 4,152.09 × 4,152.09
  4. Step 4: Simplify right side
    1,701x = 17,239,882.51
  5. Step 5: Solve for x
    x = 17,239,882.51/1,701
  6. Step 6: Final answer
    x = 10,135.15

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.