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Finding the Third Proportional to 2,395.69 and 3,809.53

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Solution

The third proportional to 2,395.69 and 3,809.53 is: 6,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.69 : 3,809.53 = 3,809.53 : x
  2. Step 2: Convert to fraction form
    2,395.69/3,809.53 = 3,809.53/x
  3. Step 3: Cross multiply
    2,395.69x = 3,809.53 × 3,809.53
  4. Step 4: Simplify right side
    2,395.69x = 14,512,528.34
  5. Step 5: Solve for x
    x = 14,512,528.34/2,395.69
  6. Step 6: Final answer
    x = 6,057.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.