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Finding the Third Proportional to 4,962.09 and 10,684.41

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Solution

The third proportional to 4,962.09 and 10,684.41 is: 23,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.09 : 10,684.41 = 10,684.41 : x
  2. Step 2: Convert to fraction form
    4,962.09/10,684.41 = 10,684.41/x
  3. Step 3: Cross multiply
    4,962.09x = 10,684.41 × 10,684.41
  4. Step 4: Simplify right side
    4,962.09x = 114,156,536.92
  5. Step 5: Solve for x
    x = 114,156,536.92/4,962.09
  6. Step 6: Final answer
    x = 23,005.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.