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Finding the Third Proportional to 3,005.44 and 3,430.69

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Solution

The third proportional to 3,005.44 and 3,430.69 is: 3,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.44 : 3,430.69 = 3,430.69 : x
  2. Step 2: Convert to fraction form
    3,005.44/3,430.69 = 3,430.69/x
  3. Step 3: Cross multiply
    3,005.44x = 3,430.69 × 3,430.69
  4. Step 4: Simplify right side
    3,005.44x = 11,769,616.72
  5. Step 5: Solve for x
    x = 11,769,616.72/3,005.44
  6. Step 6: Final answer
    x = 3,916.11

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.