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Finding the Third Proportional to 1,705.59 and 3,673.59

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Solution

The third proportional to 1,705.59 and 3,673.59 is: 7,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.59 : 3,673.59 = 3,673.59 : x
  2. Step 2: Convert to fraction form
    1,705.59/3,673.59 = 3,673.59/x
  3. Step 3: Cross multiply
    1,705.59x = 3,673.59 × 3,673.59
  4. Step 4: Simplify right side
    1,705.59x = 13,495,291.04
  5. Step 5: Solve for x
    x = 13,495,291.04/1,705.59
  6. Step 6: Final answer
    x = 7,912.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.