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Finding the Third Proportional to 3,298.13 and 4,639.88

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Solution

The third proportional to 3,298.13 and 4,639.88 is: 6,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.13 : 4,639.88 = 4,639.88 : x
  2. Step 2: Convert to fraction form
    3,298.13/4,639.88 = 4,639.88/x
  3. Step 3: Cross multiply
    3,298.13x = 4,639.88 × 4,639.88
  4. Step 4: Simplify right side
    3,298.13x = 21,528,440.02
  5. Step 5: Solve for x
    x = 21,528,440.02/3,298.13
  6. Step 6: Final answer
    x = 6,527.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.