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Finding the Third Proportional to 1,695.94 and 3,720.09

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Solution

The third proportional to 1,695.94 and 3,720.09 is: 8,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.94 : 3,720.09 = 3,720.09 : x
  2. Step 2: Convert to fraction form
    1,695.94/3,720.09 = 3,720.09/x
  3. Step 3: Cross multiply
    1,695.94x = 3,720.09 × 3,720.09
  4. Step 4: Simplify right side
    1,695.94x = 13,839,097.51
  5. Step 5: Solve for x
    x = 13,839,097.51/1,695.94
  6. Step 6: Final answer
    x = 8,160.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.