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Finding the Third Proportional to 1,600.31 and 3,707.16

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Solution

The third proportional to 1,600.31 and 3,707.16 is: 8,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.31 : 3,707.16 = 3,707.16 : x
  2. Step 2: Convert to fraction form
    1,600.31/3,707.16 = 3,707.16/x
  3. Step 3: Cross multiply
    1,600.31x = 3,707.16 × 3,707.16
  4. Step 4: Simplify right side
    1,600.31x = 13,743,007.46
  5. Step 5: Solve for x
    x = 13,743,007.46/1,600.31
  6. Step 6: Final answer
    x = 8,587.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.