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Finding the Third Proportional to 1,827.75 and 3,403.50

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Solution

The third proportional to 1,827.75 and 3,403.50 is: 6,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.75 : 3,403.50 = 3,403.50 : x
  2. Step 2: Convert to fraction form
    1,827.75/3,403.50 = 3,403.50/x
  3. Step 3: Cross multiply
    1,827.75x = 3,403.50 × 3,403.50
  4. Step 4: Simplify right side
    1,827.75x = 11,583,812.25
  5. Step 5: Solve for x
    x = 11,583,812.25/1,827.75
  6. Step 6: Final answer
    x = 6,337.74

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.