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Finding the Third Proportional to 2,005.07 and 3,035.29

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Solution

The third proportional to 2,005.07 and 3,035.29 is: 4,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.07 : 3,035.29 = 3,035.29 : x
  2. Step 2: Convert to fraction form
    2,005.07/3,035.29 = 3,035.29/x
  3. Step 3: Cross multiply
    2,005.07x = 3,035.29 × 3,035.29
  4. Step 4: Simplify right side
    2,005.07x = 9,212,955.98
  5. Step 5: Solve for x
    x = 9,212,955.98/2,005.07
  6. Step 6: Final answer
    x = 4,594.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.