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Finding the Third Proportional to 1,384.59 and 3,341.25

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Solution

The third proportional to 1,384.59 and 3,341.25 is: 8,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.59 : 3,341.25 = 3,341.25 : x
  2. Step 2: Convert to fraction form
    1,384.59/3,341.25 = 3,341.25/x
  3. Step 3: Cross multiply
    1,384.59x = 3,341.25 × 3,341.25
  4. Step 4: Simplify right side
    1,384.59x = 11,163,951.56
  5. Step 5: Solve for x
    x = 11,163,951.56/1,384.59
  6. Step 6: Final answer
    x = 8,062.98

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.