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Finding the Third Proportional to 3,527.18 and 4,680.48

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Solution

The third proportional to 3,527.18 and 4,680.48 is: 6,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.18 : 4,680.48 = 4,680.48 : x
  2. Step 2: Convert to fraction form
    3,527.18/4,680.48 = 4,680.48/x
  3. Step 3: Cross multiply
    3,527.18x = 4,680.48 × 4,680.48
  4. Step 4: Simplify right side
    3,527.18x = 21,906,883.71
  5. Step 5: Solve for x
    x = 21,906,883.71/3,527.18
  6. Step 6: Final answer
    x = 6,210.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.