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Finding the Third Proportional to 1,736.02 and 3,699.84

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Solution

The third proportional to 1,736.02 and 3,699.84 is: 7,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.02 : 3,699.84 = 3,699.84 : x
  2. Step 2: Convert to fraction form
    1,736.02/3,699.84 = 3,699.84/x
  3. Step 3: Cross multiply
    1,736.02x = 3,699.84 × 3,699.84
  4. Step 4: Simplify right side
    1,736.02x = 13,688,843.77
  5. Step 5: Solve for x
    x = 13,688,843.77/1,736.02
  6. Step 6: Final answer
    x = 7,885.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.