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Finding the Third Proportional to 1,707.19 and 3,661.31

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Solution

The third proportional to 1,707.19 and 3,661.31 is: 7,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.19 : 3,661.31 = 3,661.31 : x
  2. Step 2: Convert to fraction form
    1,707.19/3,661.31 = 3,661.31/x
  3. Step 3: Cross multiply
    1,707.19x = 3,661.31 × 3,661.31
  4. Step 4: Simplify right side
    1,707.19x = 13,405,209.22
  5. Step 5: Solve for x
    x = 13,405,209.22/1,707.19
  6. Step 6: Final answer
    x = 7,852.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.