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Finding the Third Proportional to 1,409.25 and 2,484.75

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Solution

The third proportional to 1,409.25 and 2,484.75 is: 4,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.25 : 2,484.75 = 2,484.75 : x
  2. Step 2: Convert to fraction form
    1,409.25/2,484.75 = 2,484.75/x
  3. Step 3: Cross multiply
    1,409.25x = 2,484.75 × 2,484.75
  4. Step 4: Simplify right side
    1,409.25x = 6,173,982.56
  5. Step 5: Solve for x
    x = 6,173,982.56/1,409.25
  6. Step 6: Final answer
    x = 4,381.04

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.