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Finding the Third Proportional to 2,349.84 and 3,486.80

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Solution

The third proportional to 2,349.84 and 3,486.80 is: 5,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.84 : 3,486.80 = 3,486.80 : x
  2. Step 2: Convert to fraction form
    2,349.84/3,486.80 = 3,486.80/x
  3. Step 3: Cross multiply
    2,349.84x = 3,486.80 × 3,486.80
  4. Step 4: Simplify right side
    2,349.84x = 12,157,752.45
  5. Step 5: Solve for x
    x = 12,157,752.45/2,349.84
  6. Step 6: Final answer
    x = 5,173.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.