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Finding the Third Proportional to 4,214.81 and 5,904.84

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Solution

The third proportional to 4,214.81 and 5,904.84 is: 8,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.81 : 5,904.84 = 5,904.84 : x
  2. Step 2: Convert to fraction form
    4,214.81/5,904.84 = 5,904.84/x
  3. Step 3: Cross multiply
    4,214.81x = 5,904.84 × 5,904.84
  4. Step 4: Simplify right side
    4,214.81x = 34,867,179.71
  5. Step 5: Solve for x
    x = 34,867,179.71/4,214.81
  6. Step 6: Final answer
    x = 8,272.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.