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Finding the Third Proportional to 3,553 and 4,969.88

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Solution

The third proportional to 3,553 and 4,969.88 is: 6,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553 : 4,969.88 = 4,969.88 : x
  2. Step 2: Convert to fraction form
    3,553/4,969.88 = 4,969.88/x
  3. Step 3: Cross multiply
    3,553x = 4,969.88 × 4,969.88
  4. Step 4: Simplify right side
    3,553x = 24,699,657.52
  5. Step 5: Solve for x
    x = 24,699,657.52/3,553
  6. Step 6: Final answer
    x = 6,951.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.