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Finding the Third Proportional to 1,591.88 and 3,490.88

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Solution

The third proportional to 1,591.88 and 3,490.88 is: 7,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.88 : 3,490.88 = 3,490.88 : x
  2. Step 2: Convert to fraction form
    1,591.88/3,490.88 = 3,490.88/x
  3. Step 3: Cross multiply
    1,591.88x = 3,490.88 × 3,490.88
  4. Step 4: Simplify right side
    1,591.88x = 12,186,208.27
  5. Step 5: Solve for x
    x = 12,186,208.27/1,591.88
  6. Step 6: Final answer
    x = 7,655.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.