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Finding the Third Proportional to 6,479.58 and 9,744.05

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Solution

The third proportional to 6,479.58 and 9,744.05 is: 14,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.58 : 9,744.05 = 9,744.05 : x
  2. Step 2: Convert to fraction form
    6,479.58/9,744.05 = 9,744.05/x
  3. Step 3: Cross multiply
    6,479.58x = 9,744.05 × 9,744.05
  4. Step 4: Simplify right side
    6,479.58x = 94,946,449.50
  5. Step 5: Solve for x
    x = 94,946,449.50/6,479.58
  6. Step 6: Final answer
    x = 14,653.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.