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Finding the Third Proportional to 3,533.84 and 7,430.91

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Solution

The third proportional to 3,533.84 and 7,430.91 is: 15,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.84 : 7,430.91 = 7,430.91 : x
  2. Step 2: Convert to fraction form
    3,533.84/7,430.91 = 7,430.91/x
  3. Step 3: Cross multiply
    3,533.84x = 7,430.91 × 7,430.91
  4. Step 4: Simplify right side
    3,533.84x = 55,218,367.70
  5. Step 5: Solve for x
    x = 55,218,367.70/3,533.84
  6. Step 6: Final answer
    x = 15,625.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.