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Finding the Third Proportional to 6,348.80 and 9,684.35

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Solution

The third proportional to 6,348.80 and 9,684.35 is: 14,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.80 : 9,684.35 = 9,684.35 : x
  2. Step 2: Convert to fraction form
    6,348.80/9,684.35 = 9,684.35/x
  3. Step 3: Cross multiply
    6,348.80x = 9,684.35 × 9,684.35
  4. Step 4: Simplify right side
    6,348.80x = 93,786,665.19
  5. Step 5: Solve for x
    x = 93,786,665.19/6,348.80
  6. Step 6: Final answer
    x = 14,772.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.