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Finding the Third Proportional to 2,403.84 and 3,852.14

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Solution

The third proportional to 2,403.84 and 3,852.14 is: 6,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.84 : 3,852.14 = 3,852.14 : x
  2. Step 2: Convert to fraction form
    2,403.84/3,852.14 = 3,852.14/x
  3. Step 3: Cross multiply
    2,403.84x = 3,852.14 × 3,852.14
  4. Step 4: Simplify right side
    2,403.84x = 14,838,987.39
  5. Step 5: Solve for x
    x = 14,838,987.39/2,403.84
  6. Step 6: Final answer
    x = 6,173.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.