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Finding the Third Proportional to 5,878.41 and 8,629.45

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Solution

The third proportional to 5,878.41 and 8,629.45 is: 12,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.41 : 8,629.45 = 8,629.45 : x
  2. Step 2: Convert to fraction form
    5,878.41/8,629.45 = 8,629.45/x
  3. Step 3: Cross multiply
    5,878.41x = 8,629.45 × 8,629.45
  4. Step 4: Simplify right side
    5,878.41x = 74,467,461.24
  5. Step 5: Solve for x
    x = 74,467,461.24/5,878.41
  6. Step 6: Final answer
    x = 12,667.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.