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Finding the Third Proportional to 1,701.84 and 3,633.19

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Solution

The third proportional to 1,701.84 and 3,633.19 is: 7,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.84 : 3,633.19 = 3,633.19 : x
  2. Step 2: Convert to fraction form
    1,701.84/3,633.19 = 3,633.19/x
  3. Step 3: Cross multiply
    1,701.84x = 3,633.19 × 3,633.19
  4. Step 4: Simplify right side
    1,701.84x = 13,200,051.41
  5. Step 5: Solve for x
    x = 13,200,051.41/1,701.84
  6. Step 6: Final answer
    x = 7,756.32

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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.